Baryons in Partially Quenched Chiral Perturbation Theory

TL;DR

This paper extends partially quenched chiral perturbation theory to include octet and decuplet baryons, calculating one-loop corrections to their masses, magnetic moments, and twist-2 matrix elements, aiding lattice QCD analyses.

Contribution

It introduces a framework for incorporating baryons into partially quenched chiral perturbation theory and computes key one-loop corrections relevant for lattice QCD.

Findings

Computed leading one-loop contributions to baryon masses and magnetic moments.

Analyzed the extension of isovector operators from QCD to partially quenched QCD.

Discussed the implications of non-unique charge matrix extensions.

Abstract

We include the lowest-lying octet- and decuplet-baryons into partially quenched chiral perturbation theory. Perturbing about the chiral limit of the graded SU(6|3)_L x SU(6|3)_R flavor group of partially quenched QCD, we compute the leading one-loop contributions to the octet-baryon masses, magnetic moments and matrix elements of isovector twist-2 operators. We work in the isospin limit and keep two of the three sea quarks degenerate. The usefulness of the non-unique extension of the electric charge matrix and the isovector twist-2 operators from QCD to partially quenched QCD is discussed.