Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory

TL;DR

This paper calculates the masses of spin-3/2 decuplet baryons using advanced chiral perturbation theories to aid in extrapolating lattice QCD results for these particles.

Contribution

It provides next-to-next-to-leading order mass calculations in heavy baryon chiral perturbation theory and extends to partially quenched theories for three light flavors.

Findings

Masses calculated at NNLO in heavy baryon chiral perturbation theory.

Results applicable for extrapolating lattice QCD calculations.

Provides formulas for decuplet baryon masses in partially quenched scenarios.

Abstract

The masses of the spin-3/2 baryons are calculated to next-to-next-to-leading order in heavy baryon chiral perturbation theory and partially quenched heavy baryon chiral perturbation theory. The calculation is performed for three light flavors in the isospin limit. These results are necessary for extrapolating QCD and partially quenched QCD lattice calculations of the decuplet baryon masses.