Loop Calculations with FeynArts, FormCalc, and LoopTools

TL;DR

This paper introduces a suite of three integrated software tools—FeynArts, FormCalc, and LoopTools—for automating the generation, algebraic simplification, and numerical evaluation of Feynman diagrams, streamlining complex quantum field theory calculations.

Contribution

It presents an integrated workflow combining diagram generation, algebraic simplification, and numerical evaluation, enhancing efficiency in loop calculations.

Findings

Automated generation and calculation of Feynman diagrams.

Results are expressed in a form suitable for fast numerical evaluation.

Streamlined process reduces manual effort in complex calculations.

Abstract

Three programs are presented for automatically generating and calculating Feynman diagrams: the diagrams are generated with FeynArts, algebraically simplified with FormCalc, and finally evaluated numerically using the LoopTools package. The calculations are performed analytically as far as possible, with results given in a form well suited for numerical evaluation. The latter is then straightforward using the implementations of the one-loop integrals in LoopTools.