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Photo of Johan Bijnens

Johan Bijnens

Professor

Photo of Johan Bijnens

Sunset integrals at finite volume

Author

  • Johan Bijnens

Summary, in English

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.

Department/s

  • Theoretical Particle Physics

Publishing year

2013

Language

English

Publication/Series

Proceedings of Science

Volume

29

Document type

Journal article

Publisher

Sissa Medialab srl

Topic

  • Subatomic Physics

Conference name

31st International Symposium on Lattice Field Theory, LATTICE 2013

Conference date

2013-07-29 - 2013-08-03

Conference place

Mainz, Germany

Status

Published

ISBN/ISSN/Other

  • ISSN: 1824-8039