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The two-loop master integrals for \( q\overline{q} \)VV

  • Thomas Gehrmann
  • Andreas von Manteuffel
  • Lorenzo Tancredi
  • Erich Weihs
Open Access
Article

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, \( q\overline{q} \)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.

Keywords

QCD Phenomenology Hadronic Colliders 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Thomas Gehrmann
    • 1
  • Andreas von Manteuffel
    • 2
  • Lorenzo Tancredi
    • 1
  • Erich Weihs
    • 1
  1. 1.Physik-InstitutUniversität ZürichZürichSwitzerland
  2. 2.PRISMA Cluster of Excellence & Institute of PhysicsJohannes Gutenberg UniversityMainzGermany

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