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Two-loop master integrals for $ q\overline{q}\to VV $ : the planar topologies


Gehrmann, Thomas; Tancredi, Lorenzo; Weihs, Erich (2013). Two-loop master integrals for $ q\overline{q}\to VV $ : the planar topologies. Journal of High Energy Physics, 2013(8):1-52.

Abstract

The two-loop QCD corrections to vector boson pair production at hadron colliders involve a new class of Feynman integrals: two-loop four-point functions with two off-shell external legs. We describe their reduction to a small set of master integrals by solving linear relations among them. We then use differential equations in the external invariants to compute all master integrals that are relevant to planar Feynman amplitudes. Our results are expressed analytically in terms of generalized harmonic polylogarithms. The calculation relies heavily on techniques that exploit the algebraic structure of these functions, which we describe in detail.

Abstract

The two-loop QCD corrections to vector boson pair production at hadron colliders involve a new class of Feynman integrals: two-loop four-point functions with two off-shell external legs. We describe their reduction to a small set of master integrals by solving linear relations among them. We then use differential equations in the external invariants to compute all master integrals that are relevant to planar Feynman amplitudes. Our results are expressed analytically in terms of generalized harmonic polylogarithms. The calculation relies heavily on techniques that exploit the algebraic structure of these functions, which we describe in detail.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:June 2013
Deposited On:05 Sep 2013 06:11
Last Modified:16 Feb 2018 18:01
Publisher:Springer
ISSN:1029-8479
Additional Information:The final publication is available at link.springer.com
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/JHEP08(2013)070

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