Hyperons in Two Flavor Chiral Perturbation Theory

TL;DR

This paper applies two-flavor chiral perturbation theory to hyperons, improving convergence over three-flavor approaches, and provides formulas for hyperon masses to assist lattice QCD calculations.

Contribution

It introduces a two-flavor chiral expansion for hyperons, deriving mass formulas up to sixth order to aid lattice QCD and improve theoretical predictions.

Findings

Enhanced convergence of chiral expansion for hyperon observables.

Derived a sixth-order formula for omega baryon mass.

Identified the need for more low-energy constants from lattice data.

Abstract

We use two-flavor chiral perturbation theory to describe hyperons. We focus on the strangeness conserving sector, and, as an example, calculate hyperon masses. Convergence of this two-flavor chiral expansion for observables is improved over the three-flavor theory. The cost, however, is a larger number of low-energy constants that must be ultimately determined from lattice QCD data. A formula for the mass of the omega baryon is derived to sixth order in this expansion, and will aid lattice practitioners in scale setting or tuning the strange quark mass.