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

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

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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.

Originalspråk	engelska
Artikelnummer	019
Tidskrift	Journal of High Energy Physics
Nummer	1
DOI	https://doi.org/10.1007/JHEP01(2014)019
Status	Published - 2014

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10.1007/JHEP01(2014)019

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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",

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T1 - Two-loop sunset integrals at finite volume

AU - Bijnens, Johan

AU - Boström, Emil

AU - Laehde, Timo A.

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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

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Two-loop sunset integrals at finite volume

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