English

Forcer: a FORM program for 4-loop massless propagators

High Energy Physics - Phenomenology 2016-07-26 v1

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.

Keywords

Cite

@article{arxiv.1607.07318,
  title  = {Forcer: a FORM program for 4-loop massless propagators},
  author = {T. Ueda and B. Ruijl and J. A. M. Vermaseren},
  journal= {arXiv preprint arXiv:1607.07318},
  year   = {2016}
}

Comments

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