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arXiv · 1607.07318

Forcer: a FORM program for 4-loop massless propagators

T. Ueda·B. Ruijl·J. A. M. Vermaseren
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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.

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T. Ueda, B. Ruijl, J. A. M. Vermaseren. 2016-07-25. Forcer: a FORM program for 4-loop massless propagators. https://arxiv.org/abs/1607.07318

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