Feynarts manual

FeynArts always produces purely symbolic amplitudes and refrains from simplifying them in any way so as not to be restricted to a certain class of theories. The resulting expressions cannot be used directly e.g. in a Fortran program, but must first be simplified algebraically. The function for this is CalcFeynAmp. CalcFeynAmp[a 1,a. Motivation And Brief History of FeynCalc Current status of the project I (Again) under active development since I Regular releases since FEYNCALC , FEYNCALC , FEYNCALC , FEYNCALC I Easy installation I Online documentation: https: //www.doorway.ru I Many sample tree and 1-loop calculations (QED, EW, QCD) . If you make this software available to others please provide them with this manual, too. If you find any bugs, or want to make suggestions, or just write fan mail, address it to: Thomas Hahn Max-Planck-Institut fu¨r Physik (Werner-Heisenberg-Institut) Fo¨hringer Ring 6 D– Munich, Germany e-mail: hahn@www.doorway.ru

for providing FeynArts, which was used for the graphics. Testing of the results of FeynCalc has been done by A. Denner, S. Dittmaier, J. Kublbeck,¨ G. Weiglein and T. Sack. I am very grateful to Stephen Wolfram for an invitation to Wolfram Research Inc., where most of this manual was written. the Feynman rules. This is also described in the FeynArts manual, chapter Of course, this issue appears only in this particular diagrammatic approach, while when using e.g. Dyson-Schwinger and doing Wick contractions by hand the signs are unambiguous. Unfortunately, FeynArts doesn't work this way, so at the end the user has to somehow put the. If you make this software available to others please provide them with this manual, too. If you find any bugs, or want to make suggestions, or just write fan mail, address it to: Thomas Hahn Max-Planck-Institut fu¨r Physik (Werner-Heisenberg-Institut) Fo¨hringer Ring 6 D Munich, Germany e-mail: hahn@www.doorway.ru

This document is the technical manual of FeynCalc; explanations are sometimes rather short. The user is assumed to know Quantum Field Theory and Mathematica. It is strongly recommended to study the Mathematica book [1] by Stephen Wolfram before starting with FeynCalc. - In addition to ordinary diagrams, FeynArts can generate counter-term diagrams and diagrams with placeholders for one-particle irreducible vertex functions (skeleton diagrams). - FeynArts employs the so-called ``flipping-rule'' algorithm to concatenate fermion chains. The manual is available here. FeynArts is not a part of FeynCalc but its output can be used by FeynCalc to evaluate the generated amplitudes. Unfortunately, many FeynArts functions have the same name as the FeynCalc functions which makes Mathematica produce lots of warnings when loading both packages in the same session.