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arxiv: 1311.3531 · v1 · submitted 2013-11-14 · ✦ hep-lat · hep-ph

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Two-loop Sunset Integrals at Finite Volume

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classification ✦ hep-lat hep-ph
keywords integralsfinitesunsetvolumemassesresultstwo-loopappear
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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 ($\chi$PT) calculation of the pseudoscalar meson masses and decay constants at NNLO, including the case of Partially Quenched $\chi$PT. 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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