FeynCalc 10: Do multiloop integrals dream of computer codes?

Vladyslav Shtabovenko*, Rolf Mertig, Frederik Orellana

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

63 Downloads (Pure)

Abstract

In this work we report on a new version of FEYNCALC, a MATHEMATICA package widely used in the particle physics community for manipulating quantum field theoretical expressions and calculating Feynman diagrams. Highlights of the new version include greatly improved capabilities for doing multiloop calculations, including topology identification and minimization, optimized tensor reduction, rewriting of scalar products in terms of inverse denominators, detection of equivalent or scaleless loop integrals, derivation of Symanzik polynomials, Feynman parametric as well as graph representation for master integrals and initial support for handling differential equations and iterated integrals. In addition to that, the new release also features completely rewritten routines for color algebra simplifications, inclusion of symmetry relations between arguments of Passarino–Veltman functions, tools for determining matching coefficients and quantifying the agreement between numerical results, improved export to [Formula presented] and first steps towards a better support of calculations involving light-cone vectors.
Original languageEnglish
Article number109357
JournalComputer Physics Communications
Volume306
Number of pages15
ISSN0010-4655
DOIs
Publication statusPublished - 2025

Keywords

  • High energy physics
  • Feynman diagrams
  • Loop integrals
  • Dimensional regularization
  • Renormalization
  • Dirac algebra
  • Passarino-Veltman
  • Cheng-Wu
  • Feynman integrals
  • Symanzik polynomials
  • Light-cone
  • Multiloop
  • Feyncalc

Fingerprint

Dive into the research topics of 'FeynCalc 10: Do multiloop integrals dream of computer codes?'. Together they form a unique fingerprint.

Cite this