Chiral symmetry constraints on resonant amplitudes

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 $\pi \pi$ 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.

Version accepted by Phys. Lett. B. Supplemental material include additional proofs

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Cited by in corpus (2)

• Towards a theory of hadron resonances
• Multi-particle systems on the lattice and chiral extrapolations: a brief review