Masses and decay constants of pseudoscalar mesons to two loops in two-flavor partially quenched chiral perturbation theory

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 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