The O(αs3TF2) contributions to the gluonic operator matrix element

2014/05/16 by J. Ablinger, Jakob Ablinger, J. Blümlein +8 · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Harmonic #Iterated function #Mathematical analysis #Mathematics #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2014.05.028

39 papges LATEX, 8 Figures

arxiv created 2014/05/16 · openalex publication_date 2014/05/29 · arxiv updated 2014/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

The O(αs3TF2CF(CA)) contributions to the transition matrix element Agg,Q relevant for the variable flavor number scheme at 3-loop order are calculated. The corresponding graphs contain two massive fermion lines of equal mass leading to terms given by inverse binomially weighted sums beyond the usual harmonic sums. In x-space two root-valued letters contribute in the iterated integrals in addition to those forming the harmonic polylogarithms. We outline technical details needed in the calculation of graphs of this type, which are as well of importance in the case of two different internal massive lines.

Citations

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Cited by

• Analytic computing methods for precision calculations in quantum field theory