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We report on the new functionality of the open-source Mathematica package FeynCalc relevant for multiloop calculations. In particular, we focus on such tasks as topology identification by means of the Pak algorithm, search for equivalent…

High Energy Physics - Phenomenology · Physics 2021-12-30 Vladyslav Shtabovenko

Starting from the basic ideas of mathematica, we give a detailed description about the way of linking of external programs with mathematica through proper mathlink commands. This article may be quite helpful for the beginners to start with…

Mathematical Software · Computer Science 2008-10-20 Santanu K. Maiti

We present FORM 5, a major release of the symbolic-manipulation system FORM. Version 5 introduces an integrated diagram generator, based on the GRACE graph-generator, to produce Feynman diagrams directly from FORM scripts. This release also…

High Energy Physics - Phenomenology · Physics 2026-01-29 J. Davies , T. Kaneko , C. Marinissen , T. Ueda , J. A. M. Vermaseren

We present FaRe, a package for Mathematica that implements the decomposition of a generic tensor Feynman integral, with arbitrary loop number, into scalar integrals in higher dimension. In order for FaRe to work, the package FeynCalc is…

High Energy Physics - Phenomenology · Physics 2016-03-23 Michele Re Fiorentin

This article describes three Mathematica packages for the automatic calculation of one-loop Feynman diagrams: the diagrams are generated with FeynArts, algebraically simplified with FormCalc, and finally evaluated numerically using the…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Hahn

FeynMaster is a multi-tasking software for particle physics studies. By making use of already existing programs (FeynRules, QGRAF, FeynCalc), FeynMaster automatically generates Feynman rules, generates and draws Feynman diagrams, generates…

High Energy Physics - Phenomenology · Physics 2020-04-17 Duarte Fontes , Jorge C. Romão

Mathematica is a powerful application package for doing mathematics and is used almost in all branches of science. It has widespread applications ranging from quantum computation, statistical analysis, number theory, zoology, astronomy, and…

Mathematical Software · Computer Science 2015-10-29 Santanu K. Maiti

Symbolic calculators like Mathematica are becoming more commonplace among upper level physics students. The presence of such a powerful calculator can couple strongly to the type of mathematical reasoning students employ. It does not merely…

Physics Education · Physics 2009-11-13 Thomas J. Bing , Edward F. Redish

aITALC, a new tool for automating loop calculations in high energy physics, is described. The package creates Fortran code for two-fermion scattering processes automatically, starting from the generation and analysis of the Feynman graphs.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alejandro Lorca , Tord Riemann

We present Version 8 of the Feynman-diagram calculator FormCalc. New features include in particular significantly improved algebraic simplification as well as vectorization of the generated code. The Cuba Library, used in FormCalc, features…

High Energy Physics - Phenomenology · Physics 2015-06-17 B. Chokoufe Nejad , T. Hahn , J. -N. Lang , E. Mirabella

The program FeynRules is a Mathematica package developed to facilitate the implementation of new physics theories into high-energy physics tools. Starting from a minimal set of information such as the model gauge symmetries, its particle…

High Energy Physics - Phenomenology · Physics 2014-06-13 Adam Alloul , Neil D. Christensen , Celine Degrande , Claude Duhr , Benjamin Fuks

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…

High Energy Physics - Phenomenology · Physics 2016-07-26 T. Ueda , B. Ruijl , J. A. M. Vermaseren

We describe the implementation of the MSSM in the diagram generator FeynArts and the calculational tool FormCalc. This extension allows to perform loop calculations of MSSM processes almost fully automatically. The actual implementation has…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Hahn , C. Schappacher

A software for simplification of Dirac matrix polynomials that arise in particle physics problems is implemented.

High Energy Physics - Theory · Physics 2023-09-26 Sergii Kutnii

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…

High Energy Physics - Phenomenology · Physics 2011-04-15 T. Hahn

Complete Feynman diagram automatic computation systems are now coming of age after many years of development. They are made available to the high energy physics community through user-friendly interfaces. Theorists and experimentalists can…

High Energy Physics - Phenomenology · Physics 2011-04-15 Denis Perrer-Gallix

We describe a framework to develop, implement and validate any perturbative Lagrangian-based particle physics model for further theoretical, phenomenological and experimental studies. The starting point is FeynRules, a Mathematica package…

High Energy Physics - Phenomenology · Physics 2011-02-11 Neil D. Christensen , Priscila de Aquino , Celine Degrande , Claude Duhr , Benjamin Fuks , Michel Herquet , Fabio Maltoni , Steffen Schumann

This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic series, binomial coefficients and denominators. In addition it treats Mellin transforms and the inverse Mellin transformation for functions that…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. M. Vermaseren

This article describes the latest versions of the Mathematica packages FeynArts, FormCalc, and LoopTools for the generation and evaluation of one-loop diagrams.

High Energy Physics - Phenomenology · Physics 2011-04-20 T. Hahn

Triangle Feynman diagrams can be considered as describing form factors of states bound by a zero-range interaction. These form factors are calculated for scalar particles and compared to point-form and non-relativistic results. By examining…

Nuclear Theory · Physics 2009-11-07 B. Desplanques , L. Theußl , S. Noguera