FeynHelpers manual (development version)

LoopTools usage examples

The LoopTools interface allows to quickly evaluate Passarino-Veltman functions with suitable kinematics numerically using LoopTools.

Given an amplitude written in terms of PaVe-functions

amp = Get[FileNameJoin[{$FeynHelpersDirectory, "Documentation", "Examples", "ampHToGG.m"}]];

we can evaluate it by first loading LoopTools via

LToolsLoadLibrary[]

and then running

ampEval = LToolsEvaluate[amp, LToolsSetMudim -> 1, InitialSubstitutions -> {mH -> 125, mt -> 173}]

where we set \mu = 1. The resulting expression is then

Collect2[ampEval /. {D -> 4, mH -> 125, mt -> 173}, Pair]