Baryon Decuplet to Octet Electromagnetic Transitions in Quenched and Partially Quenched Chiral Perturbation Theory

TL;DR

This paper calculates baryon electromagnetic transition form factors using quenched and partially quenched chiral perturbation theory, aiding the extrapolation of lattice QCD results.

Contribution

It provides the first detailed next-to-leading order chiral perturbation theory calculations for these transitions in quenched and partially quenched frameworks.

Findings

Derived expressions for SU(3) flavor transitions.

Provided formulas for SU(2) flavor away from isospin limit.

Facilitates lattice QCD data extrapolation.

Abstract

We calculate baryon decuplet to octet electromagnetic transition form factors in quenched and partially quenched chiral perturbation theory. We work in the isospin limit of SU(3) flavor, up to next-to-leading order in the chiral expansion, and to leading order in the heavy baryon expansion. Our results are necessary for proper extrapolation of lattice calculations of these transitions. We also derive expressions for the case of SU(2) flavor away from the isospin limit.