Masses and Decay Constants of Pseudoscalar Mesons to Two Loops in Two-Flavor Partially Quenched Chiral Perturbation Theory

TL;DR

This paper calculates the masses and decay constants of charged pseudoscalar mesons to two loops in two-flavor partially quenched chiral perturbation theory, providing explicit formulas and numerical estimates of corrections.

Contribution

It provides the first analytical two-loop expressions for pseudoscalar meson properties in two-flavor PQχPT using a supersymmetric formulation.

Findings

Explicit ${ m O}(p^6)$ analytical expressions are derived.

Numerical analysis indicates the size of two-loop corrections.

Calculations are performed within the supersymmetric PQχPT framework.

Abstract

This paper presents a first study of the masses and decay constants of the charged, or flavor-off-diagonal, pseudoscalar mesons to two loops for two flavors of sea-quarks, in Partially Quenched Chiral Perturbation Theory (PQ$\chi$PT). Explicit analytical expressions up to ${\cal O}(p^6)$ in the momentum expansion are given. The calculations have been performed within the supersymmetric formulation of PQ$\chi$PT. A numerical analysis is done to indicate the size of the corrections.