First Forcer results on deep-inelastic scattering and related quantities

Abstract

We present results on the fourth-order splitting functions and coefficient functions obtained using Forcer, a four-loop generalization of the Mincer program for the parametric reduction of self-energy integrals. We have computed the respective lowest three even-N and odd-N moments for the non-singlet splitting functions and the non-singlet coefficient functions in electromagnetic and nu+nu(bar) charged-current deep-inelastic scattering, and the N=2 and N=4 results for the corresponding flavour-singlet quantities. Enough moments have been obtained for an LLL-based determination of the analytic N-dependence of the nf^3 and nf^2 parts, respectively, of the singlet and non-singlet splitting functions. The large-N limit of the latter provides the complete nf^2 contributions to the four-loop cusp anomalous dimension. Our results also provide additional evidence of a non-vanishing contribution of quartic group invariants to the cusp anomalous dimension.

arXiv comment11 pages, LaTeX (PoS style), 4 eps-figures. To appear in the proceedings of `Loops & Legs 2016', Leipzig (Germany), April 2016

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• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• Approximate four-loop QCD corrections to the Higgs-boson production cross section
• The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory
• FORM, Diagrams and Topologies
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