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Two-loop sunset integrals at finite volume

Bijnens, Johan LU orcid ; Boström, Emil LU and Laehde, Timo A. (2014) In Journal of High Energy Physics
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 Theory (chi PT) calculation of the pseudoscalar meson masses and decay constants at next-to-next-to-leading order, 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.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Lattice QCD, Chiral Lagrangians
in
Journal of High Energy Physics
issue
1
article number
019
publisher
Springer
external identifiers
  • wos:000329617800010
  • scopus:84892518818
ISSN
1029-8479
DOI
10.1007/JHEP01(2014)019
language
English
LU publication?
yes
id
5c08c01b-cbaa-4ddd-92ef-013589e97243 (old id 4319028)
date added to LUP
2016-04-01 11:08:13
date last changed
2024-01-07 09:12:49
@article{5c08c01b-cbaa-4ddd-92ef-013589e97243,
  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 Theory (chi PT) calculation of the pseudoscalar meson masses and decay constants at next-to-next-to-leading order, 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.}},
  author       = {{Bijnens, Johan and Boström, Emil and Laehde, Timo A.}},
  issn         = {{1029-8479}},
  keywords     = {{Lattice QCD; Chiral Lagrangians}},
  language     = {{eng}},
  number       = {{1}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{Two-loop sunset integrals at finite volume}},
  url          = {{http://dx.doi.org/10.1007/JHEP01(2014)019}},
  doi          = {{10.1007/JHEP01(2014)019}},
  year         = {{2014}},
}