Chiral symmetry constraints on resonant amplitudes

Autor: Peter C. Bruns, Maxim Mai
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Physics Letters B, Vol 778, Iss C, Pp 43-47 (2018)
Druh dokumentu: article
ISSN: 0370-2693
1873-2445
DOI: 10.1016/j.physletb.2018.01.006
Popis: We discuss the impact of chiral symmetry constraints on the quark-mass dependence of meson resonance pole positions, which are encoded in non-perturbative parametrizations of meson scattering amplitudes. Model-independent conditions on such parametrizations are derived, which are shown to guarantee the correct functional form of the leading quark-mass corrections to the resonance pole positions. Some model amplitudes for ππ scattering, widely used for the determination of ρ and σ resonance properties from results of lattice simulations, are tested explicitly with respect to these conditions.
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