Analytic results for the planar double box integral relevant to top-pair production with a closed top loop

2018/06/30 by Luise Adams, Ekta Chaubey, Stefan Weinzierl
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Analytic Number Theory Research #Applied mathematics #Combinatorics #Computer science #Differential (mechanical device) #Iterated function #Loop (graph theory) #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Matrix (chemical analysis) #Multiple integral #Order (exchange) #Order of integration (calculus) #Physics #Planar #Production (economics) #Pure mathematics #hep-ph #hep-th

paper · pdf · doi:10.1007/jhep10(2018)206

78 pages, additional file "supplementary_material.mpl" attached, v2: version to be published

openalex created_date 2018/06/21 · openalex publication_date 2018/10/01 · arxiv created 2018/10/26 · arxiv updated 2018/11/14 · openalex updated_date 2026/08/05

Abstract

A bstract In this article we give the details on the analytic calculation of the master integrals for the planar double box integral relevant to top-pair production with a closed top loop. We show that these integrals can be computed systematically to all order in the dimensional regularisation parameter ε . This is done by transforming the system of differential equations into a form linear in ε , where the ε 0 -part is a strictly lower triangular matrix. Explicit results in terms of iterated integrals are presented for the terms relevant to NNLO calculations.

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