Taste non-Goldstone pion decay constants in staggered chiral perturbation theory

TL;DR

This paper extends the calculation of pion and kaon decay constants in staggered chiral perturbation theory to non-Goldstone tastes, providing detailed results for partially quenched SU(3) and SU(2) cases.

Contribution

It introduces the calculation of axial current decay constants for taste non-Goldstone pions and kaons, expanding previous work on Goldstone tastes within staggered chiral perturbation theory.

Findings

Derived decay constants for taste non-Goldstone pions and kaons.

Compared taste Goldstone and non-Goldstone decay constants.

Presented results for partially quenched SU(3) and SU(2) theories.

Abstract

We calculate the next-to-leading order axial current decay constants of taste non-Goldstone pions and kaons in staggered chiral perturbation theory. This is an extension of the taste Goldstone decay constants calculation to that of the non-Goldstone tastes. We present results for the partially quenched case in the SU(3) and SU(2) staggered chiral perturbation theories and discuss the difference between the taste Goldstone and non-Goldstone cases.