Sunset integrals at finite volume

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Chiral Perturbation Theory is a useful tool to aid in performing the various extrapolations needed in lattice QCD calculations of physical quantities. These include extrapolations in quark mass, finite lattice spacing and finite size of the lattice. Especially the latter will becomemore important when the quark masses on the lattice become smaller. Here we develop the needed two-loop integrals at finite volume to do the calculations for masses and decay constants for all general mass cases. I will present results based on an expansion in Bessel functions as well as on a version using theta functions and compare their efficiency. Work is in progress to combine these results with two-loop ChPT calculations.

    Original languageEnglish
    Article number112
    JournalProceedings of Science
    Volume29
    Publication statusPublished - 2013
    Event31st International Symposium on Lattice Field Theory, LATTICE 2013 - Mainz, Germany
    Duration: 2013 Jul 292013 Aug 3

    Subject classification (UKÄ)

    • Subatomic Physics

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