Chiral symmetry constraints on resonant amplitudes

Bruns, Peter C. and Mai, Maxim (2018) Chiral symmetry constraints on resonant amplitudes. PHYSICS LETTERS B, 778. pp. 43-47. ISSN 0370-2693, 1873-2445

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Abstract

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 pi scattering, widely used for the determination of rho and sigma resonance properties from results of lattice simulations, are tested explicitly with respect to these conditions. (c) 2018 The Authors. Published by Elsevier B.V.

Item Type: Article
Uncontrolled Keywords: PI-PI SCATTERING; PERTURBATION-THEORY; VECTOR-MESONS; ONE LOOP; Chiral symmetries; Lattice QCD; Light mesons; Resonances
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Mar 2020 10:16
Last Modified: 20 Mar 2020 10:16
URI: https://pred.uni-regensburg.de/id/eprint/14900

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