Advanced

Two-loop sunset integrals at finite volume

Bijnens, Johan LU ; 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
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Lattice QCD, Chiral Lagrangians
in
Journal of High Energy Physics
issue
1
publisher
Springer
external identifiers
  • wos:000329617800010
  • scopus:84892518818
ISSN
1126-6708
DOI
10.1007/JHEP01(2014)019
language
English
LU publication?
yes
id
5c08c01b-cbaa-4ddd-92ef-013589e97243 (old id 4319028)
date added to LUP
2014-02-25 14:27:07
date last changed
2017-03-05 03:21:00
@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.},
  articleno    = {019},
  author       = {Bijnens, Johan and Boström, Emil and Laehde, Timo A.},
  issn         = {1126-6708},
  keyword      = {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},
  year         = {2014},
}