Calculating four-loop massless propagators with Forcer

Abstract

We present Forcer, a new FORM program for the calculation of four-loop massless propagators. The basic framework is similar to that of the Mincer program for three-loop massless propagators: the program reduces Feynman integrals to a set of master integrals in a parametric way. To overcome an ineludible complexity of the program structure at the four-loop level, most of the code was automatically generated or made with computer-assisted derivations. Correctness of the program has been checked with the recomputation of some quantities in the literature.

5 pages, 2 figures, to appear in the proceedings of ACAT 2016

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• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• Four-loop QCD propagators and vertices with one vanishing external momentum
• Baikov-Lee Representations Of Cut Feynman Integrals
• The R*-operation for Feynman graphs with generic numerators