The two-loop master integrals for $q\overline{q}$ → VV

Gehrmann, Thomas; von Manteuffel, Andreas; Tancredi, Lorenzo; Weihs, Erich (2014). The two-loop master integrals for $q\overline{q}$ → VV. Journal of High Energy Physics, 2014(6):1-25.

Abstract

We compute the full set of two-loop Feynman integrals appearing in massless two-loop four-point functions with two off-shell legs with the same invariant mass. These integrals allow to determine the two-loop corrections to the amplitudes for vector boson pair production at hadron colliders, → VV , and thus to compute this process to next-to- next-to-leading order accuracy in QCD. The master integrals are derived using the method of differential equations, employing a canonical basis for the integrals. We obtain analytical results for all integrals, expressed in terms of multiple polylogarithms. We optimize our results for numerical evaluation by employing functions which are real valued for physical scattering kinematics and allow for an immediate power series expansion.

We compute the full set of two-loop Feynman integrals appearing in massless two-loop four-point functions with two off-shell legs with the same invariant mass. These integrals allow to determine the two-loop corrections to the amplitudes for vector boson pair production at hadron colliders, → VV , and thus to compute this process to next-to- next-to-leading order accuracy in QCD. The master integrals are derived using the method of differential equations, employing a canonical basis for the integrals. We obtain analytical results for all integrals, expressed in terms of multiple polylogarithms. We optimize our results for numerical evaluation by employing functions which are real valued for physical scattering kinematics and allow for an immediate power series expansion.

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23 citations in Web of Science®
16 citations in Scopus®

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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Physics Institute 530 Physics 2014 17 Feb 2015 15:00 05 Apr 2016 18:59 Springer 1029-8479 https://doi.org/10.1007/JHEP06(2014)032
Permanent URL: https://doi.org/10.5167/uzh-107416