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BHLS$_2$ Upgrade : $\tau$ spectra, muon HVP and the [$\pi^0,~\eta,~\eta^\prime$] System
- Source :
- The European physical journal / C 82(2), 184 (2022). doi:10.1140/epjc/s10052-022-10096-4
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
Abstract
- The European physical journal / C 82(2), 184 (2022). doi:10.1140/epjc/s10052-022-10096-4<br />The generic hidden local symmetry (HLS) model has recently given rise to its $\hbox {BHLS}_2$ variant, defined by introducing symmetry breaking mostly in the vector meson sector; the central mechanism is a modification of the covariant derivative at the root of the HLS approach. However, the description of the $\tau $ dipion spectra, especially the Belle one, is not fully satisfactory, whereas the simultaneous dealing with its annihilation sector ($e^+ e^- \rightarrow \pi ^+ \pi ^-/\pi ^+ \pi ^-\pi ^0/ \pi ^0 \gamma /\eta \gamma /K^+ K^-/K_L K_S$) is optimum. We show that this issue is solved by means of an additional breaking term which also allows us to consistently include the mixing properties of the $[\pi ^0,\eta ,{\eta ^\prime }]$ system within this extended $\hbox {BHLS}_2$ ($\hbox {EBHLS}_2$) scope. This mechanism, an extension of the usual ���t Hooft determinant term, only affects the kinetic energy part of the $\hbox {BHLS}_2$ Lagrangian. One thus obtains a fair account for the $\tau $ dipion spectra which complements the fair account of the annihilation channels already reached. The Belle dipion spectrum is found to provide evidence in favor of a violation of the conserved vector current (CVC) in the $\tau $ lepton decay; this evidence is enforced by imposing the conditions $=ip_\mu f_q \delta _{q q^\prime }, \{ [q {\overline{q}}], q=u,d,s\}$ on $\hbox {EBHLS}_2$ axial current matrix elements. $\hbox {EBHLS}_2$ is found to recover the usual (completed) formulae for the [$\pi ^0,~\eta ,~{\eta ^\prime }$] mixing parameters, and the global fits return mixing parameter values in agreement with expectations and better uncertainties. Updating the muon hadronic vacuum polarization (HVP), one also argues that the strong tension between the KLOE and BaBar pion form factors imposes to provide two solutions, namely $a_\mu ^{HVP-LO}(\mathrm{KLOE})=687.48 \pm 2.93$ and $a_\mu ^{HVP-LO}(\mathrm{BaBar})=692.53 \pm 2.95$, in units of $10^{-10}$, rather than some combination of these. Taking into account common systematics, their differences from the experimental BNL-FNAL average value exhibit significance $> 5.4\sigma $ (KLOE) and $> 4.1\sigma $ (BaBar), with fit probabilities favoring the former.<br />Published by Springer, Heidelberg
- Subjects :
- [PHYS.HEXP] Physics [physics]/High Energy Physics - Experiment [hep-ex]
Physics and Astronomy (miscellaneous)
BELLE
determinant
symmetry breaking
High Energy Physics - Experiment
CVC model, violation
5/3
derivative, covariance
muon
energy, kinetic
[PHYS.HEXP]Physics [physics]/High Energy Physics - Experiment [hep-ex]
mixing
ddc:530
lepton: decay
Engineering (miscellaneous)
muon: magnetic moment
energy: kinetic
current, axial
tension
symmetry, local
vector meson
current: axial
HLS model
[PHYS.HPHE] Physics [physics]/High Energy Physics - Phenomenology [hep-ph]
High Energy Physics - Phenomenology
annihilation
KLOE
pi: form factor
[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]
BaBar
derivative: covariance
pi, form factor
High Energy Physics::Experiment
upgrade
vacuum polarization, hadronic
lepton, decay
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- The European physical journal / C 82(2), 184 (2022). doi:10.1140/epjc/s10052-022-10096-4
- Accession number :
- edsair.doi.dedup.....c37d3ed799dc132bc5bf86fa351f1040