Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory

TL;DR

This paper calculates one-loop chiral logarithms and analytic terms for pseudoscalar meson decay constants using staggered chiral perturbation theory, covering various QCD scenarios.

Contribution

It extends staggered chiral perturbation theory to include detailed calculations of decay constants for different QCD cases at one-loop level.

Findings

Derived expressions for decay constants in partially quenched and quenched QCD.

Provided analytical results for chiral logarithms and terms.

Supported future lattice QCD analyses with these formulas.

Abstract

In a continuation of an ongoing program, we use staggered chiral perturbation theory to calculate the one-loop chiral logarithms and analytic terms in the pseudoscalar meson leptonic decay constants, $f_{\pi^+_5}$ and $f_{K^+_5}$. We consider the partially quenched, ``full QCD'' (with three dynamical flavors), and quenched cases.