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Two-loop Sunset Integrals at Finite Volume

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 ($χ$PT) calculation of the pseudoscalar meson masses and decay constants at NNLO, including the case of Partially Quenched $χ$PT. We also provide numerical implementations of the finite-volume sunset integrals, and review the results for one-loop integrals at finite volume.

preprint2013arXivOpen access
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