Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory

TL;DR

This paper analyzes meson-baryon scattering lengths using covariant baryon chiral perturbation theory, deriving new low-energy theorems for pion-hyperon and pion-cascade interactions that can be tested in lattice simulations.

Contribution

It provides a comprehensive analysis of meson-baryon scattering in two- and three-flavor chiral perturbation theory, including matching relations and new low-energy theorems.

Findings

Derived matching relations between low-energy constants.

Established new low-energy theorems for pion-hyperon and pion-cascade scattering.

Results can be tested in lattice QCD simulations.

Abstract

We analyze meson-baryon scattering lengths in the framework of covariant baryon chiral perturbation theory at leading one-loop order. We compute the complete set of matching relations between the dimension-two low-energy constants in the two- and three-flavor formulations of the theory. We derive new two-flavor low-energy theorems for pion-hyperon and pion-cascade scattering that can be tested in lattice simulations.