The Pseudoscalar Meson Mass to Two Loops in Three-Flavor Partially Quenched $\chi$PT

Abstract

This paper presents a first study of the pseudoscalar meson masses to two loops, or NNLO, within the supersymmetric formulation of partially quenched chiral perturbation theory (PQ$\chi$PT). The expression for the pseudoscalar meson mass in the case of three valence and three sea quarks with equal masses, but different from each other, is given to $\mathcal{O}(p^6)$, along with a numerical analysis.

Comments: 4 pages, one reference added, small changes in discussion