Two-loop sunset integrals at finite volume

Johan Bijnens; Emil Boström; Timo A. Laehde

doi:10.1007/JHEP01(2014)019

Two-loop sunset integrals at finite volume

Johan Bijnens, Emil Boström, Timo A. Laehde

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	019
Journal	Journal of High Energy Physics
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2014)019
Publication status	Published - 2014

Subject classification (UKÄ)

Subatomic Physics

Free keywords

Lattice QCD
Chiral Lagrangians

Access to Document

10.1007/JHEP01(2014)019

Cite this

@article{5c08c01bcbaa4ddd92ef013589e97243,

title = "Two-loop sunset integrals at finite volume",

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.",

keywords = "Lattice QCD, Chiral Lagrangians",

author = "Johan Bijnens and Emil Bostr{\"o}m and Laehde, {Timo A.}",

year = "2014",

doi = "10.1007/JHEP01(2014)019",

language = "English",

journal = "Journal of High Energy Physics",

issn = "1029-8479",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - Two-loop sunset integrals at finite volume

AU - Bijnens, Johan

AU - Boström, Emil

AU - Laehde, Timo A.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Lattice QCD

KW - Chiral Lagrangians

U2 - 10.1007/JHEP01(2014)019

DO - 10.1007/JHEP01(2014)019

M3 - Article

SN - 1029-8479

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

M1 - 019

ER -

Two-loop sunset integrals at finite volume

Abstract

Subject classification (UKÄ)

Free keywords

Access to Document

Fingerprint

Cite this