HEPMath 1.4: A Mathematica Package for Semi-Automatic Computations in High Energy Physics

TL;DR

HEPMath 1.4 is a Mathematica package designed for high energy physics computations, offering advanced tensor, index, and code generation features, including Python integration and interfaces to key physics tools.

Contribution

It introduces a comprehensive, extensible Mathematica package that simplifies high energy physics calculations and code generation, surpassing existing tools in flexibility and automation.

Findings

Automates tensor and index calculations in high energy physics

Enables automatic generation of Python-callable numerical code

Provides seamless interfaces to LHAPDF, FeynArts, and LoopTools

Abstract

This article introduces the Mathematica package \emph{HEPMath} which provides a number of utilities and algorithms for High Energy Physics computations in Mathematica. Its functionality is similar to packages like FormCalc or FeynCalc, but it takes a more complete and extensible approach to implementing common High Energy Physics notations in the Mathematica language, in particular those related to tensors and index contractions. It also provides a more flexible method for the generation of numerical code which is based on new features for C code generation in Mathematica. In particular it can automatically generate Python extension modules which make the compiled functions callable from Python, thus eliminating the need to write any code in a low-level language like C or Fortran. It also contains seamless interfaces to LHAPDF, FeynArts, and LoopTools.