4.7 Article

Extraction of isoscalar ππ phase shifts from lattice QCD

Journal

PHYSICAL REVIEW D
Volume 98, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.98.014507

Keywords

-

Funding

  1. National Science Foundation CAREER Grant [PHY-1151648]
  2. U.S. DOE [DE-FG02-95ER40907]
  3. Fundacao de amparo a pesquisa do estado de Sao Paulo
  4. German Research Foundation [MA 7156/1-1]
  5. National Science Foundation (CAREER) [PHY-1452055]
  6. U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-AC05-06OR23177]

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We conduct a two-flavor (N-f = 2) lattice QCD calculation of the elastic phase shifts for pion-pion scattering in the scalar, isoscalar channel (the sigma-meson). The calculation is performed for two quark masses corresponding to pion masses of 315 and 227 MeV. The sigma-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 M-sigma = (440(-16)(+10) (50) - i240(20)(25t)) MeV, where the uncertainties in the parentheses denote the stochastic and systematic ones. The behavior of the sigma-meson parameters with increasing pion mass is discussed as well.

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