4.3 Article

Scalar one-loop 4-point integrals

Journal

NUCLEAR PHYSICS B
Volume 844, Issue 2, Pages 199-242

Publisher

ELSEVIER
DOI: 10.1016/j.nuclphysb.2010.11.002

Keywords

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Funding

  1. European Community's Marie-Curie Research Training Network [MRTN-CT-2006-035505]

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We provide a complete set of results for the scalar 4-point function appearing in one-loop calculations in QCD, QED, the electroweak Standard Model and popular extensions thereof. Complex internal masses, which are needed for calculations involving unstable particles, are supported throughout, whereas complex momenta are not supported. In particular, for the most general, regular case we present two independent results in terms of 72 and 32 dilogarithms. In addition we list explicit results for all soft- and/or collinear-singular cases in dimensional regularization, mass regularization, and in regularizations of mixed type. The exceptional case with a vanishing modified Cayley determinant, which hardly appears in applications, is not considered. (C) 2010 Elsevier B.V. All rights reserved.

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