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Publication Information
Title A cross-channel study of pion scattering from lattice QCD
Abstract We use a chiral model for pion interactions, in the inverse amplitude formalism, to perform a simultaneous analysis of lattice QCD results for pion-pion scattering in all three isospin channels. The input is the finite-volume two-pion spectrum computed using lattice QCD from six ensembles on lattices elongated in one of the spatial dimensions. A two-flavor dynamical lattice QCD action is used with two quark masses corresponding to a pion mass of 315 MeV and 224 MeV. The spectrum in the elastic region is subjected to a global fit which takes into account full correlations across isospin, pion mass and decay constant. The parameters from the fit are used to perform a chiral extrapolation to the physical point. The cross-channel fit results in a more precise determination of the parameters of the model when compared with single channel fits. We obtain $m_\pi a_0^{I=0}=0.2132(9)$, and $m_\pi a_0^{I=2}=0.0433(2)$ as well as $m_\sigma=443(3)-i221(6)$ MeV and $m_\rho=724(4)-i67(1)$ MeV. Sever
Author(s) Maxim Mai, C. Culver, Andrei Alexandru , Michael Doring, Frank Lee
Publication Date December 2019
Document Type Journal Article
Primary Institution George Washington University, Washington, DC
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-19-3017 OSTI Number: 1581135
LANL Number: arXiv:1908.01847 Other Number: DOE/OR/23177-4765
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review D
Refereed Yes
Volume 100
Issue
Page(s) 114514
Attachments/Datasets/DOI Link
Document(s)
1908.01847.pdf (STI Document)
PhysRevD.100.114514.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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