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Journal of High Energy Physics

, 2010:102 | Cite as

The quark and gluon form factors to three loops in QCD through to \( \mathcal{O}\left( {{\epsilon^2}} \right) \)

  • T. Gehrmann
  • E. W. N. Glover
  • T. Huber
  • N. Ikizlerli
  • C. Studerus
Article

Abstract

We give explicit formulae for the \( \mathcal{O}(\epsilon) \) and \( \mathcal{O}\left( {{\epsilon^2}} \right) \) contributions to the unrenormalised three loop QCD corrections to quark and gluon form factors. These contributions have at most transcendentality weight eight. The \( \mathcal{O}(\epsilon) \) terms of the three-loop form factors are required for the extraction of the four-loop quark and gluon collinear anomalous dimensions. The \( \mathcal{O}\left( {{\epsilon^2}} \right) \) terms represent an irreducible contribution to the finite part of the form factors at four-loops. For the sake of completeness, we also give the contributions to the one and two loop form factors to the same transcendentality weight eight.

Keywords

NLO Computations QCD 

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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • T. Gehrmann
    • 1
  • E. W. N. Glover
    • 2
  • T. Huber
    • 3
  • N. Ikizlerli
    • 2
  • C. Studerus
    • 1
    • 4
  1. 1.Institut für Theoretische PhysikUniversität ZürichZürichSwitzerland
  2. 2.Institute for Particle Physics PhenomenologyUniversity of DurhamDurhamU.K.
  3. 3.Fachbereich 7, Universität SiegenSiegenGermany
  4. 4.Faculty of PhysicsUniversity of BielefeldBielefeldGermany

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