Taste non-Goldstone, flavor-charged pseudo-Goldstone boson decay constants in staggered chiral perturbation theory

TL;DR

This paper computes decay constants for non-Goldstone taste pions and kaons in staggered chiral perturbation theory, extending previous Goldstone results and including next-to-leading order corrections.

Contribution

It generalizes decay constant calculations to non-Goldstone tastes in staggered chiral perturbation theory with next-to-leading order accuracy.

Findings

Results include analytic corrections that vanish in the continuum limit.

Modified coefficients of chiral logarithms without introducing new couplings.

Applicable to quenched, dynamical, and partially quenched theories in SU(3) and SU(2).

Abstract

We calculate the axial current decay constants of taste non-Goldstone pions and kaons in staggered chiral perturbation theory through next-to-leading order. The results are a simple generalization of the results for the taste Goldstone case. New low-energy couplings are limited to analytic corrections that vanish in the continuum limit; certain coefficients of the chiral logarithms are modified, but they contain no new couplings. We report results for quenched, fully dynamical, and partially quenched cases of interest in the chiral SU(3) and SU(2) theories.