Two-loop Sunset Integrals at Finite Volume

Abstract

We show how to compute the two-loop sunset integrals at finite volume, for non-degenerate masses and non-zero momentum. We present results for all integrals that appear in the Chiral Perturbation Therory () calculation of the pseudoscalar meson masses and decay constants at NNLO, including the case of Partially Quenched . We also provide numerical implementations of the finite-volume sunset integrals, and review the results for one-loop integrals at finite volume.

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