Forcer: a FORM program for 4-loop massless propagators

Abstract

We present a new FORM program for analytically evaluating four-loop massless propagator-type Feynman integrals in an efficient way. Our program Forcer implements parametric reductions of the aforementioned class of Feynman integrals into a set of master integrals and can be considered as a four-loop extension of the three-loop Mincer program. Since the program structure at the four-loop level is highly complicated and the equations easily become lengthy, most of the code was generated in an automatic way or with computer-assisted derivations. We have checked correctness of the program by recomputing already-known quantities in the literature.

10 pages, 2 figures, to appear in the proceedings of Loops and Legs in Quantum Field Theory, 24-29 April 2016, Leipzig, Germany

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• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
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• Four-loop QCD propagators and vertices with one vanishing external momentum
• Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams
• Zimmermann's Forest Formula, Infrared Divergences and the QCD Beta Function
• Bubble diagram through the Symmetries of Feynman Integrals method
• R*-operation and five-loop calculations