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A Four-Point Function for the Planar QCD Massive Corrections to Top-Antitop Production in the Gluon-Fusion Channel

Authors :
Paul Caucal
Matteo Capozi
Roberto Bonciani
Institut de Physique Théorique - UMR CNRS 3681 (IPHT)
Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)
Source :
KMPB Conference, KMPB Conference, Oct 2017, Zeuthen, Germany. pp.93-106, ⟨10.1007/978-3-030-04480-0_5⟩, Texts & Monographs in Symbolic Computation ISBN: 9783030044794
Publication Year :
2017
Publisher :
HAL CCSD, 2017.

Abstract

International audience; In these proceedings we present the study of a four-point function that is involved in the evaluation of the Master Integrals necessary to compute the two-loop massive QCD planar corrections to \(t\bar{t}\) production in the gluon fusuin channel, at hadron colliders. The solution involves complete elliptic integrals of the first and second kind and one- or two-fold integrations of such elliptic integrals multiplied by ratios of polynomials, inverse square roots and logarithms or dilogarithms.

Details

Language :
English
ISBN :
978-3-030-04479-4
ISBNs :
9783030044794
Database :
OpenAIRE
Journal :
KMPB Conference, KMPB Conference, Oct 2017, Zeuthen, Germany. pp.93-106, ⟨10.1007/978-3-030-04480-0_5⟩, Texts & Monographs in Symbolic Computation ISBN: 9783030044794
Accession number :
edsair.doi.dedup.....0c25036c91109e1a5085b6c84365088c
Full Text :
https://doi.org/10.1007/978-3-030-04480-0_5⟩