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Title: 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 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, $$m_πa^{I=0}_0 =$$ 0.2132(9), and $$m_πa^{I=2}_0 =$$ 0.0433(2) as well as $$m_σ =$$ 443(3) – $i$221(6) MeV and $$m_ρ =$$ 724(4) – $i$67(1) MeV. Several aspects of scale setting and consistency with previous analyses of lattice QCD results are discussed as well.

Authors:
 [1];  [1];  [2]; ORCiD logo [3];  [1]
  1. George Washington Univ., Washington, DC (United States)
  2. George Washington Univ., Washington, DC (United States); Univ. of Maryland, College Park, MD (United States)
  3. George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF)
OSTI Identifier:
1580302
Alternate Identifier(s):
OSTI ID: 1581135
Report Number(s):
JLAB-THY-19-3017; DOE/OR/23177-4765; arXiv:1908.01847
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
PHY-1151648; PHY-1452055; FG02-95ER40907; AC05-06OR23177
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Mai, M., Culver, C., Alexandru, A., Döring, M., and Lee, F. X. Cross-channel study of pion scattering from lattice QCD. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.114514.
Mai, M., Culver, C., Alexandru, A., Döring, M., & Lee, F. X. Cross-channel study of pion scattering from lattice QCD. United States. doi:10.1103/PhysRevD.100.114514.
Mai, M., Culver, C., Alexandru, A., Döring, M., and Lee, F. X. Tue . "Cross-channel study of pion scattering from lattice QCD". United States. doi:10.1103/PhysRevD.100.114514.
@article{osti_1580302,
title = {Cross-channel study of pion scattering from lattice QCD},
author = {Mai, M. and Culver, C. and Alexandru, A. and Döring, M. and Lee, F. X.},
abstractNote = {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 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, $m_πa^{I=0}_0 =$ 0.2132(9), and $m_πa^{I=2}_0 =$ 0.0433(2) as well as $m_σ =$ 443(3) – $i$221(6) MeV and $m_ρ =$ 724(4) – $i$67(1) MeV. Several aspects of scale setting and consistency with previous analyses of lattice QCD results are discussed as well.},
doi = {10.1103/PhysRevD.100.114514},
journal = {Physical Review D},
number = 11,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
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DOI: 10.1103/PhysRevD.100.114514

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