151. Connecting physical resonant amplitudes and lattice QCD
- Author
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Daniel R. Bolton, Raúl A. Briceño, and David J. Wilson
- Subjects
Physics ,Particle physics ,Nuclear and High Energy Physics ,Chiral perturbation theory ,Isovector ,010308 nuclear & particles physics ,Scattering ,Pion elastic scattering ,High Energy Physics::Lattice ,High Energy Physics - Lattice (hep-lat) ,FOS: Physical sciences ,Lattice QCD ,Scattering length ,01 natural sciences ,Chiral Perturbation Theory ,Scattering amplitude ,High Energy Physics - Phenomenology ,High Energy Physics - Lattice ,High Energy Physics - Phenomenology (hep-ph) ,Pion ,Quantum electrodynamics ,0103 physical sciences ,Scattering theory ,010306 general physics - Abstract
We present a determination of the isovector, $P$-wave $\pi\pi$ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using $m_\pi =236$ MeV. The finite volume spectra are described using extensions of L\"uscher's method to determine the infinite volume Unitarized Chiral Perturbation Theory scattering amplitude. We exploit the pion mass dependence of this effective theory to obtain the scattering amplitude at $m_\pi= 140$ MeV. The scattering phase shift is found to be in good agreement with experiment up to center of mass energies of 1.2 GeV. The analytic continuation of the scattering amplitude to the complex plane yields a $\rho$-resonance pole at $E_\rho= \left[755(2)(1)(^{20}_{02})-\frac{i}{2}\,129(3)(1)(^{7}_{1})\right]~{\rm MeV}$. The techniques presented illustrate a possible pathway towards connecting lattice QCD observables of few-body, strongly interacting systems to experimentally accessible quantities., Comment: 8 pages, 6 figures, equivalent to published version, added two appendices and a figure
- Published
- 2016
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