Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations

TL;DR

This paper develops chiral extrapolation functions for baryon masses in unquenched three-flavor lattice QCD simulations, incorporating second-order quark mass effects and isospin violation within Lorentz-invariant baryon chiral perturbation theory.

Contribution

It provides novel chiral extrapolation functions for three-flavor lattice simulations, including strong isospin violation and matching to two-flavor cases.

Findings

Derived chiral extrapolation functions for baryon masses.

Included effects of strong isospin violation.

Discussed matching to two-flavor case and sigma terms.

Abstract

We have analyzed the chiral expansion of the baryon masses to second order in the quark masses, including strong isospin violation. The calculations are performed in Lorentz-invariant baryon chiral perturbation theory. Chiral extrapolation functions for three-flavor unquenched lattice simulations are derived. The matching to the two-flavor case and the sigma terms are also considered.