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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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4 pages, one reference added, small changes in discussion

Scientific paper

10.1103/PhysRevD.70.111503

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 ${\cal O}(p^6)$, along with a numerical analysis.

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