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1. Detailed Report on the Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm

Author

Aguillard, D. P., Albahri, T., Allspach, D., Anisenkov, A., Badgley, K., Baeßler, S., Bailey, I., Bailey, L., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Barzi, E., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Braun, S., Bressler, M., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chapelain, A., Chappa, S., Charity, S., Chen, C., Cheng, M., Chislett, R., Chu, Z., Chupp, T. E., Claessens, C., Convery, M. E., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Sciascio, G., Donati, S., Drendel, B., Driutti, A., Duginov, V. N., Eads, M., Edmonds, A., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fienberg, A. T., Fioretti, A., Flay, D., Foster, S. B., Friedsam, H., Froemming, N. S., Gabbanini, C., Gaines, I., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Goodenough, L., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Hertzog, D. W., Hesketh, G., Hess, E., Hibbert, A., Hodge, Z., Hong, K. W., Hong, R., Hu, T., Hu, Y., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D. S., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kinnaird, N., Kraegeloh, E., Krylov, V. A., Kuchinskiy, N. A., Labe, K. R., LaBounty, J., Lancaster, M., Lee, S., Li, B., Li, D., Li, L., Logashenko, I., Campos, A. Lorente, Lu, Z., Lucà, A., Lukicov, G., Lusiani, A., Lyon, A. L., MacCoy, B., Madrak, R., Makino, K., Mastroianni, S., Miller, J. P., Miozzi, S., Mitra, B., Morgan, J. P., Morse, W. M., Mott, J., Nath, A., Ng, J. K., Nguyen, H., Oksuzian, Y., Omarov, Z., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Počanić, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Qureshi, M. U. H., Ramachandran, S., Ramberg, E., Reimann, R., Roberts, B. L., Rubin, D. L., Sakurai, M., Santi, L., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Shemyakin, D., Sorbara, M., Stapleton, J., Still, D., Stöckinger, D., Stoughton, C., Stratakis, D., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Volnykh, V. P., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wu, Y., Yu, B., Yucel, M., Zeng, Y., and Zhang, C.

Subjects
High Energy Physics - Experiment, High Energy Physics - Phenomenology, Nuclear Experiment
Abstract

We present details on a new measurement of the muon magnetic anomaly, $a_\mu = (g_\mu -2)/2$. The result is based on positive muon data taken at Fermilab's Muon Campus during the 2019 and 2020 accelerator runs. The measurement uses $3.1$ GeV$/c$ polarized muons stored in a $7.1$-m-radius storage ring with a $1.45$ T uniform magnetic field. The value of $ a_{\mu}$ is determined from the measured difference between the muon spin precession frequency and its cyclotron frequency. This difference is normalized to the strength of the magnetic field, measured using Nuclear Magnetic Resonance (NMR). The ratio is then corrected for small contributions from beam motion, beam dispersion, and transient magnetic fields. We measure $a_\mu = 116 592 057 (25) \times 10^{-11}$ (0.21 ppm). This is the world's most precise measurement of this quantity and represents a factor of $2.2$ improvement over our previous result based on the 2018 dataset. In combination, the two datasets yield $a_\mu(\text{FNAL}) = 116 592 055 (24) \times 10^{-11}$ (0.20 ppm). Combining this with the measurements from Brookhaven National Laboratory for both positive and negative muons, the new world average is $a_\mu$(exp) $ = 116 592 059 (22) \times 10^{-11}$ (0.19 ppm)., Comment: 48 pages, 29 figures; 4 pages of Supplement Material; version accepted for publication in Physical Review D

Published
2024

2. Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm

Author

Aguillard, D. P., Albahri, T., Allspach, D., Anisenkov, A., Badgley, K., Baeßler, S., Bailey, I., Bailey, L., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Barzi, E., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Braun, S., Bressler, M., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chapelain, A., Chappa, S., Charity, S., Chen, C., Cheng, M., Chislett, R., Chu, Z., Chupp, T. E., Claessens, C., Convery, M. E., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Sciascio, G., Drendel, B., Driutti, A., Duginov, V. N., Eads, M., Edmonds, A., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fienberg, A. T., Fioretti, A., Flay, D., Foster, S. B., Friedsam, H., Froemming, N. S., Gabbanini, C., Gaines, I., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Goodenough, L., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Hertzog, D. W., Hesketh, G., Hess, E., Hibbert, A., Hodge, Z., Hong, K. W., Hong, R., Hu, T., Hu, Y., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D. S., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kinnaird, N., Kraegeloh, E., Krylov, V. A., Kuchinskiy, N. A., Labe, K. R., LaBounty, J., Lancaster, M., Lee, S., Li, B., Li, D., Li, L., Logashenko, I., Campos, A. Lorente, Lu, Z., Lucà, A., Lukicov, G., Lusiani, A., Lyon, A. L., MacCoy, B., Madrak, R., Makino, K., Mastroianni, S., Miller, J. P., Miozzi, S., Mitra, B., Morgan, J. P., Morse, W. M., Mott, J., Nath, A., Ng, J. K., Nguyen, H., Oksuzian, Y., Omarov, Z., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Počanić, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Qureshi, M. U. H., Ramachandran, S., Ramberg, E., Reimann, R., Roberts, B. L., Rubin, D. L., Santi, L., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Shemyakin, D., Sorbara, M., Stapleton, J., Still, D., Stöckinger, D., Stoughton, C., Stratakis, D., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Volnykh, V. P., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wu, Y., Yu, B., Yucel, M., Zeng, Y., and Zhang, C.

Subjects
High Energy Physics - Experiment
Abstract

We present a new measurement of the positive muon magnetic anomaly, $a_\mu \equiv (g_\mu - 2)/2$, from the Fermilab Muon $g\!-\!2$ Experiment using data collected in 2019 and 2020. We have analyzed more than 4 times the number of positrons from muon decay than in our previous result from 2018 data. The systematic error is reduced by more than a factor of 2 due to better running conditions, a more stable beam, and improved knowledge of the magnetic field weighted by the muon distribution, $\tilde{\omega}'^{}_p$, and of the anomalous precession frequency corrected for beam dynamics effects, $\omega_a$. From the ratio $\omega_a / \tilde{\omega}'^{}_p$, together with precisely determined external parameters, we determine $a_\mu = 116\,592\,057(25) \times 10^{-11}$ (0.21 ppm). Combining this result with our previous result from the 2018 data, we obtain $a_\mu\text{(FNAL)} = 116\,592\,055(24) \times 10^{-11}$ (0.20 ppm). The new experimental world average is $a_\mu (\text{Exp}) = 116\,592\,059(22)\times 10^{-11}$ (0.19 ppm), which represents a factor of 2 improvement in precision., Comment: 8 pages, 3 figures

Published
2023
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3. The Straw Tracking Detector for the Fermilab Muon $g-2$ Experiment

Author

King, B. T., Albahri, T., Al-Kilani, S., Allspach, D., Beckner, D., Behnke, A., Bowcock, T. J. V., Boyden, D., Carey, R. M., Carroll, J., Casey, B. C. K., Charity, S., Chislett, R., Eads, M., Epps, A., Foster, S. B., Gastler, D., Grant, S., Halewood-Leagas, T., Hardin, K., Hazen, E., Hesketh, G., Hollywood, D. J., Jones, T., Kenziora, C., Keshavarzi, A., Kiburg, M., Kinnaird, N., Kintner, J., Lancaster, M., Lucà, A., Lukicov, G., Luo, G., Mapar, L., Maxfield, S. J., Mott, J., Motuk, E., Mourato, H., Pohlman, N., Price, J., Roberts, B. L., Sathyan, D., Shenk, M., Sim, D., Stuttard, T., Sweetmore, G., Thayer, G., Thomson, K., Turner, W., Vasilkova, D., Velho, J., Voirin, E., Walton, T., Warren, M., Welty-Reiger, L., Whitley, M., and Wormald, M.

Subjects
Physics - Instrumentation and Detectors, High Energy Physics - Experiment
Abstract

The Muon $g-2$ Experiment at Fermilab uses a gaseous straw tracking detector to make detailed measurements of the stored muon beam profile, which are essential for the experiment to achieve its uncertainty goals. Positrons from muon decays spiral inward and pass through the tracking detector before striking an electromagnetic calorimeter. The tracking detector is therefore located inside the vacuum chamber in a region where the magnetic field is large and non-uniform. As such, the tracking detector must have a low leak rate to maintain a high-quality vacuum, must be non-magnetic so as not to perturb the magnetic field and, to minimize energy loss, must have a low radiation length. The performance of the tracking detector has met or surpassed the design requirements, with adequate electronic noise levels, an average straw hit resolution of $(110 \pm 20) \,\mu$m, a detection efficiency of 97% or higher, and no performance degradation or signs of aging. The tracking detector's measurements result in an otherwise unachievable understanding of the muon's beam motion, particularly at early times in the experiment's measurement period when there are a significantly greater number of muons decaying. This is vital to the statistical power of the experiment, as well as facilitating the precise extraction of several systematic corrections and uncertainties. This paper describes the design, construction, testing, commissioning, and performance of the tracking detector., Comment: 37 pages, 27 figures

Published
2021
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4. A measurement of proton-carbon forward scattering in a proof-of-principle test of the EMPHATIC spectrometer

Author

Pavin, M., Aliaga-Soplin, L., Barbi, M., Bellantoni, L., Bhadra, S., Ferrazzi, B., Fields, L., Fiorentini, A., Fukuda, T., Gameil, K., Hakim, Y. Al, Hartz, M., Jamieson, B., Kiburg, M., Kolev, N., Kawai, H., Konaka, A., Lebrun, P., Lindner, T., Mizuno, T., Naganawa, N., Paley, J., Rivera, R., Santucci, G., Sato, O., Sekiguchi, T., Sikora, A., Slater, G., Suzuki, A., Sugimoto, T., Tabata, M., Uplegger, L., and Vladisavljevic, T.

Subjects
Physics - Instrumentation and Detectors, High Energy Physics - Experiment
Abstract

The next generation of long-baseline neutrino experiments will be capable of precision measurements of neutrino oscillation parameters, precision neutrino-nucleus scattering, and unprecedented sensitivity to physics beyond the Standard Model. Reduced uncertainties in neutrino fluxes are necessary to achieve high precision and sensitivity in these future precise neutrino measurements. New measurements of hadron-nucleus interaction cross sections are needed to reduce uncertainties of neutrino fluxes. We report measurements of the differential cross-section as a function of scattering angle for proton-carbon interactions with a single charged particle in the final state at beam momenta of 20, 30, and 120 GeV/c. These measurements are the result of a beam test for EMPHATIC, a hadron-scattering and hadron-production experiment. The total, elastic and inelastic cross-sections are also extracted from the data and compared to previous measurements. These results can be used in current and future long-baseline neutrino experiments, and demonstrate the feasibility of future measurements by an upgraded EMPHATIC spectrometer.

Published
2021
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5. Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment

Author

Albahri, T., Anastasi, A., Anisenkov, A., Badgley, K., Baeßler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Basti, A., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chang, S. P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fienberg, A. T., Fioretti, A., Flay, D., Frlež, E., Froemming, N. S., Fry, J., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. I., King, B., Kinnaird, N., Kraegeloh, E., Kuchibhotla, A., Kuchinskiy, N. A., Labe, K. R., LaBounty, J., Lancaster, M., Lee, M. J., Lee, S., Leo, S., Li, B., Li, D., Li, L., Logashenko, I., Campos, A. Lorente, Lucà, A., Lukicov, G., Lusiani, A., Lyon, A. L., MacCoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. P., Miozzi, S., Morse, W. M., Mott, J., Nath, A., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Počanić, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Shemyakin, D., Smith, M. W., Sorbara, M., Stöckinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., and Wu, W.

Subjects
High Energy Physics - Experiment, Nuclear Experiment
Abstract

The Muon g-2 Experiment at Fermi National Accelerator Laboratory (FNAL) has measured the muon anomalous precession frequency $\omega_a$ to an uncertainty of 434 parts per billion (ppb), statistical, and 56 ppb, systematic, with data collected in four storage ring configurations during its first physics run in 2018. When combined with a precision measurement of the magnetic field of the experiment's muon storage ring, the precession frequency measurement determines a muon magnetic anomaly of $a_{\mu}({\rm FNAL}) = 116\,592\,040(54) \times 10^{-11}$ (0.46 ppm). This article describes the multiple techniques employed in the reconstruction, analysis and fitting of the data to measure the precession frequency. It also presents the averaging of the results from the eleven separate determinations of \omega_a, and the systematic uncertainties on the result., Comment: 29 pages, 19 figures. Published in Physical Review D

Published
2021
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6. Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab

Author

Albahri, T., Anastasi, A., Badgley, K., Baeßler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chang, S. P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Conway, A., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fienberg, A. T., Fioretti, A., Flay, D., Froemming, N. S., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. I., King, B., Kinnaird, N., Kraegeloh, E., Kuchinskiy, N. A., Labe, K. R., LaBounty, J., Lancaster, M., Lee, M. J., Lee, S., Li, B., Li, D., Li, L., Logashenko, I., Campos, A. Lorente, Lucà, A., Lukicov, G., Lusiani, A., Lyon, A. L., MacCoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. P., Miozzi, S., Morse, W. M., Mott, J., Nath, A., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Počanić, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Shemyakin, D., Smith, M. W., Sorbara, M., Stöckinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., and Wu, W.

Subjects
High Energy Physics - Experiment, Nuclear Experiment
Abstract

The Fermi National Accelerator Laboratory has measured the anomalous precession frequency $a^{}_\mu = (g^{}_\mu-2)/2$ of the muon to a combined precision of 0.46 parts per million with data collected during its first physics run in 2018. This paper documents the measurement of the magnetic field in the muon storage ring. The magnetic field is monitored by nuclear magnetic resonance systems and calibrated in terms of the equivalent proton spin precession frequency in a spherical water sample at 34.7$^\circ$C. The measured field is weighted by the muon distribution resulting in $\tilde{\omega}'^{}_p$, the denominator in the ratio $\omega^{}_a$/$\tilde{\omega}'^{}_p$ that together with known fundamental constants yields $a^{}_\mu$. The reported uncertainty on $\tilde{\omega}'^{}_p$ for the Run-1 data set is 114 ppb consisting of uncertainty contributions from frequency extraction, calibration, mapping, tracking, and averaging of 56 ppb, and contributions from fast transient fields of 99 ppb., Comment: Added one citation and corrected missing normalization in Eqs (35) and (36)

Published
2021
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7. Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm

Author

Abi, B., Albahri, T., Al-Kilani, S., Allspach, D., Alonzi, L. P., Anastasi, A., Anisenkov, A., Azfar, F., Badgley, K., Baeßler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Barzi, E., Basti, A., Bedeschi, F., Behnke, A., Berz, M., Bhattacharya, M., Binney, H. P., Bjorkquist, R., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Boyden, D., Cantatore, G., Carey, R. M., Carroll, J., Casey, B. C. K., Cauz, D., Ceravolo, S., Chakraborty, R., Chang, S. P., Chapelain, A., Chappa, S., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Convery, M. E., Conway, A., Corradi, G., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., De Lurgio, P. M., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Drendel, B., Driutti, A., Duginov, V. N., Eads, M., Eggert, N., Epps, A., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fiedler, A., Fienberg, A. T., Fioretti, A., Flay, D., Foster, S. B., Friedsam, H., Frlež, E., Froemming, N. S., Fry, J., Fu, C., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., Gastler, D. E., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Hahn, D., Halewood-Leagas, T., Hampai, D., Han, F., Hazen, E., Hempstead, J., Henry, S., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Johnstone, C., Johnstone, J. A., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, S. C., Kim, Y. I., King, B., Kinnaird, N., Korostelev, M., Kourbanis, I., Kraegeloh, E., Krylov, V. A., Kuchibhotla, A., Kuchinskiy, N. A., Labe, K. R., LaBounty, J., Lancaster, M., Lee, M. J., Lee, S., Leo, S., Li, B., Li, D., Li, L., Logashenko, I., Campos, A. Lorente, Lucà, A., Lukicov, G., Luo, G., Lusiani, A., Lyon, A. L., MacCoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Maxfield, S., McEvoy, M., Merritt, W., Mikhailichenko, A. A., Miller, J. P., Miozzi, S., Morgan, J. P., Morse, W. M., Mott, J., Motuk, E., Nath, A., Newton, D., Nguyen, H., Oberling, M., Osofsky, R., Ostiguy, J. -F., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Počanić, D., Pohlman, N., Polly, C. C., Popovic, M., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Rider, N. T., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Sathyan, D., Schellman, H., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Shatunov, Y. M., Shemyakin, D., Shenk, M., Sim, D., Smith, M. W., Smith, A., Soha, A. K., Sorbara, M., Stöckinger, D., Stapleton, J., Still, D., Stoughton, C., Stratakis, D., Strohman, C., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Volnykh, V. P., Walton, T., Warren, M., Weisskopf, A., Welty-Rieger, L., Whitley, M., Winter, P., Wolski, A., Wormald, M., Wu, W., and Yoshikawa, C.

Subjects
High Energy Physics - Experiment, Nuclear Experiment
Abstract

We present the first results of the Fermilab Muon g-2 Experiment for the positive muon magnetic anomaly $a_\mu \equiv (g_\mu-2)/2$. The anomaly is determined from the precision measurements of two angular frequencies. Intensity variation of high-energy positrons from muon decays directly encodes the difference frequency $\omega_a$ between the spin-precession and cyclotron frequencies for polarized muons in a magnetic storage ring. The storage ring magnetic field is measured using nuclear magnetic resonance probes calibrated in terms of the equivalent proton spin precession frequency ${\tilde{\omega}'^{}_p}$ in a spherical water sample at 34.7$^{\circ}$C. The ratio $\omega_a / {\tilde{\omega}'^{}_p}$, together with known fundamental constants, determines $a_\mu({\rm FNAL}) = 116\,592\,040(54)\times 10^{-11}$ (0.46\,ppm). The result is 3.3 standard deviations greater than the standard model prediction and is in excellent agreement with the previous Brookhaven National Laboratory (BNL) E821 measurement. After combination with previous measurements of both $\mu^+$ and $\mu^-$, the new experimental average of $a_\mu({\rm Exp}) = 116\,592\,061(41)\times 10^{-11}$ (0.35\,ppm) increases the tension between experiment and theory to 4.2 standard deviations, Comment: 10 pages; 4 figures

Published
2021
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8. Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab

Author

Albahri, T., Anastasi, A., Badgley, K., Baeßler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chang, S. P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fiedler, A., Fienberg, A. T., Fioretti, A., Flay, D., Frlež, E., Froemming, N. S., Fry, J., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. I., King, B., Kinnaird, N., Korostelev, M., Kraegeloh, E., Kuchinskiy, N. A., Labe, K. R., LaBounty, J., Lancaster, M., Lee, M. J., Lee, S., Li, B., Li, D., Li, L., Logashenko, I., Campos, A. Lorente, Lucà, A., Lukicov, G., Lusiani, A., Lyon, A. L., MacCoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. P., Miozzi, S., Morse, W. M., Mott, J., Nath, A., Newton, D., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Počanić, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Sathyan, D., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Smith, M. W., Sorbara, M., Stöckinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., and Wu, W.

Subjects
Physics - Accelerator Physics, High Energy Physics - Experiment
Abstract

This paper presents the beam dynamics systematic corrections and their uncertainties for the Run-1 data set of the Fermilab Muon g-2 Experiment. Two corrections to the measured muon precession frequency $\omega_a^m$ are associated with well-known effects owing to the use of electrostatic quadrupole (ESQ) vertical focusing in the storage ring. An average vertically oriented motional magnetic field is felt by relativistic muons passing transversely through the radial electric field components created by the ESQ system. The correction depends on the stored momentum distribution and the tunes of the ring, which has relatively weak vertical focusing. Vertical betatron motions imply that the muons do not orbit the ring in a plane exactly orthogonal to the vertical magnetic field direction. A correction is necessary to account for an average pitch angle associated with their trajectories. A third small correction is necessary because muons that escape the ring during the storage time are slightly biased in initial spin phase compared to the parent distribution. Finally, because two high-voltage resistors in the ESQ network had longer than designed RC time constants, the vertical and horizontal centroids and envelopes of the stored muon beam drifted slightly, but coherently, during each storage ring fill. This led to the discovery of an important phase-acceptance relationship that requires a correction. The sum of the corrections to $\omega_a^m$ is 0.50 $\pm$ 0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of $\omega_a^m$., Comment: 35 pages, 29 figures. Accepted by Phys. Rev. Accel. Beams

Published
2021
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9. The straw tracking detector for the Fermilab Muon g-2 Experiment

Author

King, B.T., primary, Albahri, T., additional, Al-Kilani, S., additional, Allspach, D., additional, Beckner, D., additional, Behnke, A., additional, Bowcock, T.J.V., additional, Boyden, D., additional, Carey, R.M., additional, Carroll, J., additional, Casey, B.C.K., additional, Charity, S., additional, Chislett, R., additional, Eads, M., additional, Epps, A., additional, Foster, S.B., additional, Gastler, D., additional, Grant, S., additional, Halewood-Leagas, T., additional, Hardin, K., additional, Hazen, E., additional, Hesketh, G., additional, Hollywood, D.J., additional, Jones, T., additional, Kenziora, C., additional, Keshavarzi, A., additional, Kiburg, M., additional, Kinnaird, N., additional, Kintner, J., additional, Lancaster, M., additional, Lucà, A., additional, Lukicov, G., additional, Luo, G., additional, Mapar, L., additional, Maxfield, S.J., additional, Mott, J., additional, Motuk, E., additional, Mourato, H., additional, Pohlman, N., additional, Price, J., additional, Roberts, B.L., additional, Sathyan, D., additional, Shenk, M., additional, Sim, D., additional, Stuttard, T., additional, Sweetmore, G., additional, Thayer, G., additional, Thomson, K., additional, Turner, W., additional, Vasilkova, D., additional, Velho, J., additional, Voirin, E., additional, Walton, T., additional, Warren, M., additional, Welty-Rieger, L., additional, Whitley, M., additional, and Wormald, M., additional

Published
2022
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10. Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 Experiment

Author

Albahri, T, Anastasi, A, Badgley, K, Baessler, S, Bailey, I, Baranov, VA, Barlas-Yucel, E, Barrett, T, Bedeschi, F, Berz, M, Bhattacharya, M, Binney, HP, Bloom, P, Bono, J, Bottalico, E, Bowcock, T, Cantatore, G, Carey, RM, Casey, BCK, Cauz, D, Chakraborty, R, Chang, SP, Chapelain, A, Charity, S, Chislett, R, Choi, J, Chu, Z, Chupp, TE, Conway, A, Corrodi, S, Cotrozzi, L, Crnkovic, JD, Dabagov, S, Debevec, PT, Di Falco, S, Di Meo, P, Di Sciascio, G, Di Stefano, R, Driutti, A, Duginov, VN, Eads, M, Esquivel, J, Farooq, M, Fatemi, R, Ferrari, C, Fertl, M, Fienberg, AT, Fioretti, A, Flay, D, Froemming, NS, Gabbanini, C, Galati, MD, Ganguly, S, Garcia, A, George, J, Gibbons, LK, Gioiosa, A, Giovanetti, KL, Girotti, P, Gohn, W, Gorringe, T, Grange, J, Grant, S, Gray, F, Haciomeroglu, S, Halewood-Leagas, T, Hampai, D, Han, F, Hempstead, J, Herrod, AT, Hertzog, DW, Hesketh, G, Hibbert, A, Hodge, Z, Holzbauer, JL, Hong, KW, Hong, R, Iacovacci, M, Incagli, M, Kammel, P, Kargiantoulakis, M, Karuza, M, Kaspar, J, Kawall, D, Kelton, L, Keshavarzi, A, Kessler, D, Khaw, KS, Khechadoorian, Z, Khomutov, NV, Kiburg, B, Kiburg, M, Kim, O, Kim, YI, King, B, Kinnaird, N, Kraegeloh, E, Kuchinskiy, NA, Labe, KR, LaBounty, J, Lancaster, M, Lee, MJ, Lee, S, Li, B, Li, D, Li, L, Logashenko, I, Campos, AL, Luca, A, Lukicov, G, Lusiani, A, Lyon, AL, MacCoy, B, Madrak, R, Makino, K, Marignetti, F, Mastroianni, S, Miller, JP, Miozzi, S, Morse, WM, Mott, J, Nath, A, Nguyen, H, Osofsky, R, Park, S, Pauletta, G, Piacentino, GM, Pilato, RN, Pitts, KT, Plaster, B, Pocani, CD, Pohlman, N, Polly, CC, Price, J, Quinn, B, Raha, N, Ramachandran, S, Ramberg, E, Ritchie, JL, Roberts, BL, Rubin, DL, Santi, L, Schlesier, C, Schreckenberger, A, Semertzidis, YK, Shemyakin, D, Smith, MW, Sorbara, M, Stockinger, D, Stapleton, J, Stoughton, C, Stratakis, D, Stuttard, T, Swanson, HE, Sweetmore, G, Sweigart, DA, Syphers, MJ, Teubner, T, Tewsley-Booth, AE, Thomson, K, Tishchenko, V, Tran, NH, Turner, W, Valetov, E, Vasilkova, D, Venanzoni, G, Walton, T, Weisskopf, A, Welty-Rieger, L, Winter, P, Wolski, A, and Wu, W

Subjects
VACUUM POLARIZATION CONTRIBUTIONSMAGNETIC-MOMENT
Abstract

The Muon g - 2 Experiment at Fermi National Accelerator Laboratory (FNAL) has measured the muon anomalous precession frequency omega(m)(a) to an uncertainty of 434 parts per billion (ppb), statistical, and 56 ppb, systematic, with data collected in four storage ring configurations during its first physics run in 2018. When combined with a precision measurement of the magnetic field of the experiment's muon storage ring, the precession frequency measurement determines a muon magnetic anomaly of a(mu) (FNAL) = 116 592 040(54) x 10(-11) (0.46 ppm). This article describes the multiple techniques employed in the reconstruction, analysis, and fitting of the data to measure the precession frequency. It also presents the averaging of the results from the 11 separate determinations of omega(m)(a), and the systematic uncertainties on the result.

Published
2021

11. Measurement of the anomalous precession frequency of the muon in the Fermilab Muon <math><mi>g</mi><mo>−</mo><mn>2</mn></math> Experiment

Author

P. Bloom, P. Kammel, Timothy Chupp, C. Schlesier, P. Girotti, M. J. Lee, A. Nath, Frederick Gray, C. Gabbanini, D. Shemyakin, C. C. Polly, L. Cotrozzi, V. N. Duginov, G. Venanzoni, T. Stuttard, G. Lukicov, M. Iacovacci, H. E. Swanson, T. P. Gorringe, B. C.K. Casey, J. Grange, N. H. Tran, K. W. Hong, K. T. Pitts, R. T. Chislett, Fabrizio Marignetti, A. Lucà, Martin Fertl, E. Barlas-Yucel, J. George, A. Kuchibhotla, Dariush Hampai, T. Walton, D. Cauz, G. Sweetmore, J. Bono, I. R. Bailey, Dinko Pocanic, J. L. Holzbauer, Gavin Grant Hesketh, J. L. Ritchie, Alexander Keshavarzi, H. P. Binney, A. García, Manolis Kargiantoulakis, A. Basti, Barry King, B. MacCoy, M. Kiburg, David Rubin, Alexey Anisenkov, V. Tishchenko, Marin Karuza, H. Nguyen, P. Di Meo, Claudio Ferrari, N. Kinnaird, Liang Li, L. K. Gibbons, N. Raha, R. Chakraborty, D. Flay, R. N. Pilato, M. Incagli, M. Lancaster, Michael Syphers, S. Baeßler, T. J. V. Bowcock, J. LaBounty, G. M. Piacentino, D. Vasilkova, S. Park, A. Lusiani, T. Albahri, R. Madrak, Z. Hodge, Dominik Stöckinger, A. Chapelain, Brad Plaster, R. M. Carey, Dongdong Li, J. D. Crnkovic, D. W. Hertzog, Selcuk Haciomeroglu, J. P. Miller, Andrzej Wolski, Tabitha Halewood-leagas, Franco Bedeschi, B. L. Roberts, S. Grant, J. Fry, Kyoko Makino, J.B. Hempstead, S. Di Falco, K. S. Khaw, W. Turner, Z. Chu, A. T. Herrod, J. D. Price, T. Barrett, N. V. Khomutov, M. Farooq, P. Winter, J. Stapleton, R. Fatemi, D. Kawall, S. Charity, L. Santi, A. Schreckenberger, E. Valetov, B. Quinn, Yannis K. Semertzidis, B. Li, K. L. Giovanetti, A. E. Tewsley-Booth, S. Lee, Ran Hong, S. Leo, M. D. Galati, A.T. Fienberg, Sultan B. Dabagov, S. P. Chang, L. Kelton, G. Pauletta, Rachel Osofsky, G. Di Sciascio, S. Ganguly, D.A. Sweigart, Meghna Bhattacharya, Thomas Teubner, A. Gioiosa, S. Miozzi, B. Kiburg, J. Esquivel, A. Lorente Campos, David Kessler, E. Bottalico, M. Sorbara, Christopher Stoughton, J. Mott, Kayleigh Anne Thomson, Giovanni Cantatore, A. Fioretti, A. Anastasi, Wanwei Wu, Karie Badgley, S. Mastroianni, O. Kim, William Morse, L. Welty-Rieger, A. L. Lyon, A. Hibbert, A. Weisskopf, P. T. Debevec, W. Gohn, E. J. Ramberg, R. Di Stefano, E. Kraegeloh, Martin Berz, Z. Khechadoorian, S. Ramachandran, D. Stratakis, S. Corrodi, D. A. Tarazona, V. A. Baranov, J. Choi, F. Han, Nicholas A. Pohlman, M. Eads, I. Logashenko, N. A. Kuchinskiy, M. W. Smith, Y. I. Kim, A. Driutti, J. Kaspar, K. R. Labe, N. S. Froemming, E. Frlež, Albahri, T., Anastasi, A., Anisenkov, A., Badgley, K., Baeßler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Basti, A., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chang, S. P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fienberg, A. T., Fioretti, A., Flay, D., Frlež, E., Froemming, N. S., Fry, J., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. I., King, B., Kinnaird, N., Kraegeloh, E., Kuchibhotla, A., Kuchinskiy, N. A., Labe, K. R., Labounty, J., Lancaster, M., Lee, M. J., Lee, S., Leo, S., Li, B., Li, D., Li, L., Logashenko, I., Lorente Campos, A., Lucà, A., Lukicov, G., Lusiani, A., Lyon, A. L., Maccoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. P., Miozzi, S., Morse, W. M., Mott, J., Nath, A., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Počanić, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Shemyakin, D., Smith, M. W., Sorbara, M., Stöckinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., and Wu, W.

Subjects
Physics::Instrumentation and Detectors, Measure (physics), FOS: Physical sciences, 7. Clean energy, 01 natural sciences, Omega, High Energy Physics - Experiment, Nuclear physics, Nuclear Experiment, High Energy Physics - Experiment (hep-ex), muon, 0103 physical sciences, Fermilab, Nuclear Experiment (nucl-ex), 010306 general physics, Larmor precession, Physics, Muon, 010308 nuclear & particles physics, Settore FIS/01 - Fisica Sperimentale, anomalous magnetic moment, 3. Good health, Magnetic field, Physics::Accelerator Physics, High Energy Physics::Experiment, Storage ring, Fermi Gamma-ray Space Telescope
Abstract

The Muon g-2 Experiment at Fermi National Accelerator Laboratory (FNAL) has measured the muon anomalous precession frequency $\omega_a$ to an uncertainty of 434 parts per billion (ppb), statistical, and 56 ppb, systematic, with data collected in four storage ring configurations during its first physics run in 2018. When combined with a precision measurement of the magnetic field of the experiment's muon storage ring, the precession frequency measurement determines a muon magnetic anomaly of $a_{\mu}({\rm FNAL}) = 116\,592\,040(54) \times 10^{-11}$ (0.46 ppm). This article describes the multiple techniques employed in the reconstruction, analysis and fitting of the data to measure the precession frequency. It also presents the averaging of the results from the eleven separate determinations of \omega_a, and the systematic uncertainties on the result., Comment: 29 pages, 19 figures. Published in Physical Review D

Published
2021

12. Measurement of the anomalous precession frequency of the muon in the Fermilab Muon Experiment

Author

T. Albahri, A. Anastasi, A. Anisenkov, K. Badgley, S. Bae??ler, I. Bailey, V. ???A. Baranov, E. Barlas-Yucel, T. Barrett, A. Basti, F. Bedeschi, M. Berz, M. Bhattacharya, H. ???P. Binney, P. Bloom, J. Bono, E. Bottalico, T. Bowcock, G. Cantatore, R. ???M. Carey, B. ???C. ???K. Casey, D. Cauz, R. Chakraborty, S. ???P. Chang, A. Chapelain, S. Charity, R. Chislett, J. Choi, Z. Chu, T. ???E. Chupp, S. Corrodi, L. Cotrozzi, J. ???D. Crnkovic, S. Dabagov, P. ???T. Debevec, S. Di Falco, P. Di Meo, G. Di Sciascio, R. Di Stefano, A. Driutti, V. ???N. Duginov, M. Eads, J. Esquivel, M. Farooq, R. Fatemi, C. Ferrari, M. Fertl, A. ???T. Fienberg, A. Fioretti, D. Flay, E. Frle??, N. ???S. Froemming, J. Fry, C. Gabbanini, M. ???D. Galati, S. Ganguly, A. Garcia, J. George, L. ???K. Gibbons, A. Gioiosa, K. ???L. Giovanetti, P. Girotti, W. Gohn, T. Gorringe, J. Grange, S. Grant, F. Gray, S. Haciomeroglu, T. Halewood-Leagas, D. Hampai, F. Han, J. Hempstead, A. ???T. Herrod, D. ???W. Hertzog, G. Hesketh, A. Hibbert, Z. Hodge, J. ???L. Holzbauer, K. ???W. Hong, R. Hong, M. Iacovacci, M. Incagli, P. Kammel, M. Kargiantoulakis, M. Karuza, J. Kaspar, D. Kawall, L. Kelton, A. Keshavarzi, D. Kessler, K. ???S. Khaw, Z. Khechadoorian, N. ???V. Khomutov, B. Kiburg, M. Kiburg, O. Kim, Y. ???I. Kim, B. King, N. Kinnaird, E. Kraegeloh, A. Kuchibhotla, N. ???A. Kuchinskiy, K. ???R. Labe, J. LaBounty, M. Lancaster, M. ???J. Lee, S. Lee, S. Leo, B. Li, D. Li, L. Li, I. Logashenko, A. Lorente Campos, A. Luc??, G. Lukicov, A. Lusiani, A. ???L. Lyon, B. MacCoy, R. Madrak, K. Makino, F. Marignetti, S. Mastroianni, J. ???P. Miller, S. Miozzi, W. ???M. Morse, J. Mott, A. Nath, H. Nguyen, R. Osofsky, S. Park, G. Pauletta, G. ???M. Piacentino, R. ???N. Pilato, K. ???T. Pitts, B. Plaster, D. Po??ani??, N. Pohlman, C. ???C. Polly, J. Price, B. Quinn, N. Raha, S. Ramachandran, E. Ramberg, J. ???L. Ritchie, B. ???L. Roberts, D. ???L. Rubin, L. Santi, C. Schlesier, A. Schreckenberger, Y. ???K. Semertzidis, D. Shemyakin, M. ???W. Smith, M. Sorbara, D. St??ckinger, J. Stapleton, C. Stoughton, D. Stratakis, T. Stuttard, H. ???E. Swanson, G. Sweetmore, D. ???A. Sweigart, M. ???J. Syphers, D. ???A. Tarazona, T. Teubner, A. ???E. Tewsley-Booth, K. Thomson, V. Tishchenko, N. ???H. Tran, W. Turner, E. Valetov, D. Vasilkova, G. Venanzoni, T. Walton, A. Weisskopf, L. Welty-Rieger, P. Winter, A. Wolski, W. Wu, Albahri, T., Anastasi, A., Anisenkov, A., Badgley, K., Bae??ler, S., Bailey, I., Baranov, V. ???A., Barlas-Yucel, E., Barrett, T., Basti, A., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. ???P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. ???M., Casey, B. ???C. ???K., Cauz, D., Chakraborty, R., Chang, S. ???P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. ???E., Corrodi, S., Cotrozzi, L., Crnkovic, J. ???D., Dabagov, S., Debevec, P. ???T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. ???N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fienberg, A. ???T., Fioretti, A., Flay, D., Frle??, E., Froemming, N. ???S., Fry, J., Gabbanini, C., Galati, M. ???D., Ganguly, S., Garcia, A., George, J., Gibbons, L. ???K., Gioiosa, A., Giovanetti, K. ???L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. ???T., Hertzog, D. ???W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. ???L., Hong, K. ???W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. ???S., Khechadoorian, Z., Khomutov, N. ???V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. ???I., King, B., Kinnaird, N., Kraegeloh, E., Kuchibhotla, A., Kuchinskiy, N. ???A., Labe, K. ???R., Labounty, J., Lancaster, M., Lee, M. ???J., Lee, S., Leo, S., Li, B., Li, D., Li, L., Logashenko, I., Lorente Campos, A., Luc??, A., Lukicov, G., Lusiani, A., Lyon, A. ???L., Maccoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. ???P., Miozzi, S., Morse, W. ???M., Mott, J., Nath, A., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. ???M., Pilato, R. ???N., Pitts, K. ???T., Plaster, B., Po??ani??, D., Pohlman, N., Polly, C. ???C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. ???L., Roberts, B. ???L., Rubin, D. ???L., Santi, L., Schlesier, C., Schreckenberger, A., Semertzidis, Y. ???K., Shemyakin, D., Smith, M. ???W., Sorbara, M., St??ckinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. ???E., Sweetmore, G., Sweigart, D. ???A., Syphers, M. ???J., Tarazona, D. ???A., Teubner, T., Tewsley-Booth, A. ???E., Thomson, K., Tishchenko, V., Tran, N. ???H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., and Wu, W.

Abstract

The Muon g−2 Experiment at Fermi National Accelerator Laboratory (FNAL) has measured the muon anomalous precession frequency ωma to an uncertainty of 434 parts per billion (ppb), statistical, and 56 ppb, systematic, with data collected in four storage ring configurations during its first physics run in 2018. When combined with a precision measurement of the magnetic field of the experiment’s muon storage ring, the precession frequency measurement determines a muon magnetic anomaly of aμ(FNAL)=116592040(54)×10−11 (0.46 ppm). This article describes the multiple techniques employed in the reconstruction, analysis, and fitting of the data to measure the precession frequency. It also presents the averaging of the results from the 11 separate determinations of ωma, and the systematic uncertainties on the result.

Published
2021

13. Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab

Author

Z. Chu, M. Eads, M. Lancaster, T. Halewood-Leagas, D. Flay, I. Logashenko, N. A. Kuchinskiy, M. W. Smith, Y. I. Kim, S.B. Dabagov, B. MacCoy, N. H. Tran, K. W. Hong, Liang Li, L. Santi, A. Chapelain, K. S. Khaw, K. T. Pitts, R. Fatemi, I. R. Bailey, E. Bottalico, Andrzej Wolski, R. N. Pilato, P. Bloom, M. Iacovacci, G. Pauletta, M. Incagli, R. Di Stefano, Timothy Chupp, E. Barlas-Yucel, G. Di Sciascio, G. Sweetmore, D. Cauz, P. Girotti, H. Nguyen, Thomas Teubner, D.A. Sweigart, A. E. Tewsley-Booth, G. Piacentino, D. Stöckinger, Karie Badgley, L. Kelton, P. Winter, Brad Plaster, J. L. Holzbauer, R. Chislett, B. Quinn, R. M. Carey, A. Conway, Kyoko Makino, A. Hibbert, B. C. K. Casey, A. Driutti, J. George, A. Lorente Campos, W. Turner, A. Lucà, S. Ramachandran, W. Wu, G. Hesketh, E. Valetov, E. Kraegeloh, Franco Bedeschi, A. Gioiosa, P. T. Debevec, L. Cotrozzi, V. N. Duginov, S. Corrodi, S. Miozzi, Yannis K. Semertzidis, M. J. Lee, S. Mastroianni, P. Di Meo, Martin Berz, K. L. Giovanetti, D. Stratakis, G. Lukicov, C. Gabbanini, J.B. Hempstead, A. Weisskopf, V. Tishchenko, B. Kiburg, H. E. Swanson, O. Kim, Michael Syphers, R. Osofsky, T. Stuttard, J. Esquivel, Dariush Hampai, T. J. V. Bowcock, Adam L. Lyon, Z. Khechadoorian, Meghna Bhattacharya, T. Barrett, Martin Fertl, D. Shemyakin, V. A. Baranov, Manolis Kargiantoulakis, R. Madrak, Marin Karuza, D. Vasilkova, S. Park, N. Kinnaird, A. Lusiani, T. Albahri, E. Ramberg, Nicholas A. Pohlman, D. Kawall, A. Schreckenberger, J. L. Ritchie, A. T. Herrod, Selcuk Haciomeroglu, L. K. Gibbons, J. Stapleton, Fabrizio Marignetti, K. Thomson, J. LaBounty, W. Gohn, G. Venanzoni, B. Li, Claudio Ferrari, Dinko Pocanic, S. P. Chang, S. Charity, T. Walton, T. P. Gorringe, Benjamin T. King, A. Fioretti, A. Anastasi, Sudeshna Ganguly, S. Lee, Ran Hong, M. D. Galati, A.T. Fienberg, William Morse, L. Welty-Rieger, Alejandro Garcia, J. Grange, J. Choi, Dongdong Li, D. W. Hertzog, A. Keshavarzi, M. Sorbara, F. Han, J. Bono, J. Mott, P. Kammel, C. Schlesier, Giovanni Cantatore, S. Di Falco, R. Chakraborty, C. C. Polly, J. P. Miller, M. Kiburg, J. Kaspar, David Rubin, S. Baeßler, K. R. Labe, N. S. Froemming, H. P. Binney, B. L. Roberts, S. Grant, J. Price, N. Raha, Z. Hodge, N. V. Khomutov, M. Farooq, Jason Crnkovic, D. A. Tarazona, C. Stoughton, A. Nath, Frederick Gray, David Kessler, Albahri, T., Anastasi, A., Badgley, K., Baessler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chang, S. P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Conway, A., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fienberg, A. T., Fioretti, A., Flay, D., Froemming, N. S., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. I., King, B., Kinnaird, N., Kraegeloh, E., Kuchinskiy, N. A., Labe, K. R., Labounty, J., Lancaster, M., Lee, M. J., Lee, S., Li, B., Li, D., Li, L., Logashenko, I., Lorente Campos, A., Luca, A., Lukicov, G., Lusiani, A., Lyon, A. L., Maccoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. P., Miozzi, S., Morse, W. M., Mott, J., Nath, A., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Pocanic, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Shemyakin, D., Smith, M. W., Sorbara, M., Stockinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., Wu, W., Baeßler, S., Lucà, A., Počanić, D., and Stöckinger, D.

Subjects
Field (physics), Physics::Instrumentation and Detectors, FOS: Physical sciences, 7. Clean energy, 01 natural sciences, Omega, High Energy Physics - Experiment, 010305 fluids & plasmas, Nuclear physics, High Energy Physics - Experiment (hep-ex), muon, 0103 physical sciences, Proton spin crisis, Fermilab, Nuclear Experiment (nucl-ex), 010306 general physics, Nuclear Experiment, Larmor precession, Physics, Muon, Settore FIS/01 - Fisica Sperimentale, VACUUM POLARIZATION CONTRIBUTIONSTEMPERATURE-DEPENDENCEPROTON NMRMOMENTSUSCEPTIBILITYTERMS, anomalous magnetic moment, Muon g-2 Experiment, anomalous precession frequency, Magnetic field, anomalous precession frequency, Muon g-2 Experiment, Fermi Gamma-ray Space Telescope
Abstract

The Fermi National Accelerator Laboratory has measured the anomalous precession frequency $a^{}_\mu = (g^{}_\mu-2)/2$ of the muon to a combined precision of 0.46 parts per million with data collected during its first physics run in 2018. This paper documents the measurement of the magnetic field in the muon storage ring. The magnetic field is monitored by nuclear magnetic resonance systems and calibrated in terms of the equivalent proton spin precession frequency in a spherical water sample at 34.7$^\circ$C. The measured field is weighted by the muon distribution resulting in $\tilde{\omega}'^{}_p$, the denominator in the ratio $\omega^{}_a$/$\tilde{\omega}'^{}_p$ that together with known fundamental constants yields $a^{}_\mu$. The reported uncertainty on $\tilde{\omega}'^{}_p$ for the Run-1 data set is 114 ppb consisting of uncertainty contributions from frequency extraction, calibration, mapping, tracking, and averaging of 56 ppb, and contributions from fast transient fields of 99 ppb., Comment: Added one citation and corrected missing normalization in Eqs (35) and (36)

Published
2021
Full Text
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14. Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab

Author

K. S. Khaw, C. Schlesier, Diktys Stratakis, R. Fatemi, S. Corrodi, D. Newton, K. T. Pitts, R. T. Chislett, L. K. Gibbons, Kyoko Makino, E. Bottalico, A. Gioiosa, J. LaBounty, J. Bono, I. R. Bailey, P. Kammel, D. Kawall, T. J. V. Bowcock, H. P. Binney, W. Turner, A. T. Herrod, S. Miozzi, A. Schreckenberger, E. Valetov, N. H. Tran, K. W. Hong, J. Esquivel, M. Sorbara, Christopher Stoughton, Fabrizio Marignetti, A. Lucà, L. Kelton, M. Eads, D. Stöckinger, T. Barrett, G. Piacentino, J. Mott, S. Baeßler, Bck Casey, Kayleigh Anne Thomson, Giovanni Cantatore, Rachel Osofsky, M. Kiburg, E. Barlas-Yucel, Michael Syphers, C. C. Polly, J. Choi, R. Chakraborty, D. Flay, David Rubin, J. Grange, N. A. Kuchinskiy, M. W. Smith, G. Lukicov, M. Iacovacci, G. Pauletta, J. L. Ritchie, B. MacCoy, L. Cotrozzi, V. N. Duginov, A. Lorente Campos, S. Lee, Ran Hong, G. Sweetmore, D.A. Sweigart, M. Korostelev, Dongdong Li, D. W. Hertzog, Alexander Keshavarzi, G. Di Sciascio, Alejandro L. Garcia, Liang Li, F. Han, D. Sathyan, A.T. Fienberg, Sultan B. Dabagov, M. J. Lee, S. P. Chang, Benjamin T. King, Marin Karuza, R. N. Pilato, M. Incagli, J.B. Hempstead, B. Quinn, L. Santi, N. Kinnaird, F. Gray, P. Winter, L. Welty-Rieger, Meghna Bhattacharya, H. Nguyen, P. Di Meo, T. Stuttard, A. L. Lyon, David Kessler, A. Chapelain, J. Kaspar, B. Li, Galati, Sudeshna Ganguly, Andrzej Wolski, A. Driutti, D. A. Tarazona, Brad Plaster, R. M. Carey, D. Cauz, G. Venanzoni, J. Fry, B. Kiburg, J. P. Miller, W. Gohn, B. L. Roberts, S. Grant, V. A. Baranov, Nicholas A. Pohlman, N. V. Khomutov, M. Farooq, Jason Crnkovic, A. Hibbert, K. R. Labe, P. T. Debevec, Thomas Teubner, S. Di Falco, J. D. Price, Yi Kim, I.B. Logashenko, Yannis K. Semertzidis, K. L. Giovanetti, A. E. Tewsley-Booth, E. Frlež, Martin Berz, S. Charity, T. Walton, Z. Khechadoorian, S. Ramachandran, A. Fiedler, T. P. Gorringe, William Morse, A. Fioretti, A. Anastasi, O. Kim, A. Weisskopf, Wanwei Wu, Karie Badgley, S. Mastroianni, J. L. Holzbauer, Manolis Kargiantoulakis, S. Park, A. Lusiani, T. Albahri, R. Madrak, Selcuk Haciomeroglu, Z. Chu, Dariush Hampai, Gavin Grant Hesketh, J. George, Tishchenko, D. Vasilkova, Franco Bedeschi, P. Bloom, Timothy Chupp, P. Girotti, Nathan Froemming, J. Stapleton, Dinko Pocanic, M. Lancaster, C. Gabbanini, N. Raha, H. E. Swanson, Martin Fertl, Z. Hodge, Tabitha Halewood-leagas, E. J. Ramberg, A. Nath, R. Di Stefano, E. Kraegeloh, Claudio Ferrari, Albahri, T., Anastasi, A., Badgley, K., Baessler, S., Bailey, I., Baranov, V. A., Barlas-Yucel, E., Barrett, T., Bedeschi, F., Berz, M., Bhattacharya, M., Binney, H. P., Bloom, P., Bono, J., Bottalico, E., Bowcock, T., Cantatore, G., Carey, R. M., Casey, B. C. K., Cauz, D., Chakraborty, R., Chang, S. P., Chapelain, A., Charity, S., Chislett, R., Choi, J., Chu, Z., Chupp, T. E., Corrodi, S., Cotrozzi, L., Crnkovic, J. D., Dabagov, S., Debevec, P. T., Di Falco, S., Di Meo, P., Di Sciascio, G., Di Stefano, R., Driutti, A., Duginov, V. N., Eads, M., Esquivel, J., Farooq, M., Fatemi, R., Ferrari, C., Fertl, M., Fiedler, A., Fienberg, A. T., Fioretti, A., Flay, D., Frlez, E., Froemming, N. S., Fry, J., Gabbanini, C., Galati, M. D., Ganguly, S., Garcia, A., George, J., Gibbons, L. K., Gioiosa, A., Giovanetti, K. L., Girotti, P., Gohn, W., Gorringe, T., Grange, J., Grant, S., Gray, F., Haciomeroglu, S., Halewood-Leagas, T., Hampai, D., Han, F., Hempstead, J., Herrod, A. T., Hertzog, D. W., Hesketh, G., Hibbert, A., Hodge, Z., Holzbauer, J. L., Hong, K. W., Hong, R., Iacovacci, M., Incagli, M., Kammel, P., Kargiantoulakis, M., Karuza, M., Kaspar, J., Kawall, D., Kelton, L., Keshavarzi, A., Kessler, D., Khaw, K. S., Khechadoorian, Z., Khomutov, N. V., Kiburg, B., Kiburg, M., Kim, O., Kim, Y. I., King, B., Kinnaird, N., Korostelev, M., Kraegeloh, E., Kuchinskiy, N. A., Labe, K. R., Labounty, J., Lancaster, M., Lee, M. J., Lee, S., Li, B., Li, D., Li, L., Logashenko, I., Lorente Campos, A., Luca, A., Lukicov, G., Lusiani, A., Lyon, A. L., Maccoy, B., Madrak, R., Makino, K., Marignetti, F., Mastroianni, S., Miller, J. P., Miozzi, S., Morse, W. M., Mott, J., Nath, A., Newton, D., Nguyen, H., Osofsky, R., Park, S., Pauletta, G., Piacentino, G. M., Pilato, R. N., Pitts, K. T., Plaster, B., Pocanic, D., Pohlman, N., Polly, C. C., Price, J., Quinn, B., Raha, N., Ramachandran, S., Ramberg, E., Ritchie, J. L., Roberts, B. L., Rubin, D. L., Santi, L., Sathyan, D., Schlesier, C., Schreckenberger, A., Semertzidis, Y. K., Smith, M. W., Sorbara, M., Stockinger, D., Stapleton, J., Stoughton, C., Stratakis, D., Stuttard, T., Swanson, H. E., Sweetmore, G., Sweigart, D. A., Syphers, M. J., Tarazona, D. A., Teubner, T., Tewsley-Booth, A. E., Thomson, K., Tishchenko, V., Tran, N. H., Turner, W., Valetov, E., Vasilkova, D., Venanzoni, G., Walton, T., Weisskopf, A., Welty-Rieger, L., Winter, P., Wolski, A., and Wu, W.

Subjects
Larmor precession, Physics, Accelerator Physics (physics.acc-ph), Nuclear and High Energy Physics, Muon, Physics and Astronomy (miscellaneous), Anomalous magnetic dipole moment, 010308 nuclear & particles physics, FOS: Physical sciences, Surfaces and Interfaces, 01 natural sciences, High Energy Physics - Experiment, Magnetic field, Nuclear physics, High Energy Physics - Experiment (hep-ex), muon magnetic anomaly, 0103 physical sciences, Physics - Accelerator Physics, Fermilab, Pitch angle, 010306 general physics, G-2 EXPERIMENTFREQUENCY, Storage ring, Beam (structure)
Abstract

This paper presents the beam dynamics systematic corrections and their uncertainties for the Run-1 data set of the Fermilab Muon g-2 Experiment. Two corrections to the measured muon precession frequency $\omega_a^m$ are associated with well-known effects owing to the use of electrostatic quadrupole (ESQ) vertical focusing in the storage ring. An average vertically oriented motional magnetic field is felt by relativistic muons passing transversely through the radial electric field components created by the ESQ system. The correction depends on the stored momentum distribution and the tunes of the ring, which has relatively weak vertical focusing. Vertical betatron motions imply that the muons do not orbit the ring in a plane exactly orthogonal to the vertical magnetic field direction. A correction is necessary to account for an average pitch angle associated with their trajectories. A third small correction is necessary because muons that escape the ring during the storage time are slightly biased in initial spin phase compared to the parent distribution. Finally, because two high-voltage resistors in the ESQ network had longer than designed RC time constants, the vertical and horizontal centroids and envelopes of the stored muon beam drifted slightly, but coherently, during each storage ring fill. This led to the discovery of an important phase-acceptance relationship that requires a correction. The sum of the corrections to $\omega_a^m$ is 0.50 $\pm$ 0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of $\omega_a^m$., Comment: 35 pages, 29 figures. Accepted by Phys. Rev. Accel. Beams

Published
2021
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