Cross-channel study of pion scattering from lattice QCD

Mai, M.; Culver, C.; Alexandru, A.; Döring, M.; Lee, F. X.

doi:10.1103/PhysRevD.100.114514

Title: Cross-channel study of pion scattering from lattice QCD

Journal Article · Tue Dec 24 00:00:00 EST 2019 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.100.114514· OSTI ID:1580302

Mai, M.; Culver, C.; Alexandru, A.;

; Lee, F. X.

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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

Grant/Contract Number:: FG02-95ER40907; AC05-06OR23177; PHY-1151648; PHY-1452055

OSTI ID:: 1580302

Alternate ID(s):: OSTI ID: 1581135

Report Number(s):: JLAB-THY-19-3017; DOE/OR/23177-4765; arXiv:1908.01847; PRVDAQ; 114514

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 100 Journal Issue: 11; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 18 works

Citation information provided by
Web of Science

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Title: Cross-channel study of pion scattering from lattice QCD

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