Extraction of isoscalar ππ phase shifts from lattice QCD

We conduct a two-flavor (Nf=2) lattice QCD calculation of the elastic phase shifts for pion-pion scattering in the scalar, isoscalar channel (the σ-meson). The calculation is performed for two quark masses corresponding to pion masses of 315 and 227 MeV. The σ-meson parameters are extracted using va...

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Bibliographic Details
Published in:Physical review. D 2018-07, Vol.98 (1), p.014507
Main Authors: Guo, D, Alexandru, A, Molina, R, Mai, M, Döring, M
Format: Article
Language:English
Subjects:
Elastic scattering
Flavor (particle physics)
Mathematical analysis
Parameterization
Parameters
Quantum chromodynamics
Scattering amplitude
Sigma-mesons
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Summary:We conduct a two-flavor (Nf=2) lattice QCD calculation of the elastic phase shifts for pion-pion scattering in the scalar, isoscalar channel (the σ-meson). The calculation is performed for two quark masses corresponding to pion masses of 315 and 227 MeV. The σ-meson parameters are extracted using various parametrizations of the scattering amplitude. The results obtained from a chiral unitary parametrization are extrapolated to the physical point and read Mσ=(440−16+10(50)−i240(20)(25))  MeV, where the uncertainties in the parentheses denote the stochastic and systematic ones. The behavior of the σ-meson parameters with increasing pion mass is discussed as well.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.98.014507