Automatized One-Loop Calculations in four and D dimensions

Automatized One-Loop Calculations in four and D dimensions

July 1998 | T. HAHN, M. PÉREZ-VICTORIA
The paper presents two program packages, *FormCalc* and *LoopTools*, for evaluating one-loop amplitudes in four and D dimensions. These programs support both dimensional regularization and constrained differential renormalization (CDR), with CDR being equivalent to dimensional reduction at the one-loop level. The authors discuss the advantages and challenges of each regularization method, particularly in chiral theories and supersymmetric theories. *FormCalc* simplifies symbolic expressions from *FeynArts* and outputs Mathematica expressions that can be further evaluated numerically, while *LoopTools* provides numerical implementations for these expressions. The paper also includes a detailed implementation guide for both programs, an example calculation of the ZZ → ZZ process in the Standard Model, and computer requirements for running the packages.The paper presents two program packages, *FormCalc* and *LoopTools*, for evaluating one-loop amplitudes in four and D dimensions. These programs support both dimensional regularization and constrained differential renormalization (CDR), with CDR being equivalent to dimensional reduction at the one-loop level. The authors discuss the advantages and challenges of each regularization method, particularly in chiral theories and supersymmetric theories. *FormCalc* simplifies symbolic expressions from *FeynArts* and outputs Mathematica expressions that can be further evaluated numerically, while *LoopTools* provides numerical implementations for these expressions. The paper also includes a detailed implementation guide for both programs, an example calculation of the ZZ → ZZ process in the Standard Model, and computer requirements for running the packages.
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[slides and audio] Automatized One-Loop Calculations in 4 and D dimensions