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arXiv · 1709.00368

The Large-$n_f$ Limit of the Four-Loop Splitting Functions in QCD

Joshua Davies
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Abstract

These proceedings describe a computation of the large-$n_f$ terms contributing to the QCD splitting functions at the fourth order in the strong coupling constant $α_s$. Using the FORCER package for the reduction of four-loop two-point Feynman integrals, Mellin moments of the four-loop splitting functions have been computed. These moments are used to derive analytic Mellin-space expressions, by forming and finding solutions to systems of Diophantine equations. Expressions for the terms proportional to $n_f^3$ of the flavour singlet, and to $n_f^2$ of the flavour non-singlet splitting functions have been determined.

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Joshua Davies. 2017-09-01. The Large-$n_f$ Limit of the Four-Loop Splitting Functions in QCD. https://arxiv.org/abs/1709.00368

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