FeynHelpers manual (development version)

FeynHelpers is a collection of interfaces that allow you to use other HEP-related tools from your FeynCalc session.

Useful information

• How to cite this package and the related tools
• Installation instructions

Tutorials

• FIESTA usage examples
• FIRE usage examples
• KIRA usage examples
• LoopTools usage examples
• Package-X usage examples
• pySecDec usage examples
• QGRAF usage examples
• Tensor reduction with Fermat

Generic functions and symbols

• FeynHelpersHowToCite - references to be cited when using FeynHelpers
• $FeynHelpersDirectory, $FeynHelpersLastCommitDateHash, $FeynHelpersLoadInterfaces, $FeynHelpersVersion - global variables needed for the proper functioning of FeynHelpers

Fermat interface

• FerImportArrayAsSparseMatrix - converts Fermat arrays into Mathematica sparse arrays
• FerMatrixToFermatArray - converts matrices to Fermat arrays
• FerCommand - templates for selected Fermat instruction
• FerRunScript - runs Fermat scripts
• FerRowReduce - Fermat version of RowReduce
• FerSolve - Fermat version of Solve
• FerInputFile, FerOutputFile, FerPath, FerScriptFile - options of functions related to the Fermat interface

Package-X interface

• PaXEvaluate, PaXEvaluateUV, PaXEvaluateIR, PaXEvaluateUVIRSplit - evaluates the given scalar 1-loop integral or Passarino-Veltman function analytically using Package-X
• PaXContinuedDiLog, PaXDiLog, PaXDiscB, PaXEpsilonBar, PaXKallenLambda, PaXKibblePhi, PaXKibblePhi, PaXLn, PaXpvA, PaXpvB, PaXpvC, PaXpvD - placeholders for certain Package-X symbols
• PaXAnalytic, PaXC0Expand, PaXD0Expand, PaXDiscExpand, PaXExpandInEpsilon, PaXImplicitPrefactor, PaXKallenExpand, PaXKibbleExpand, PaXLoopRefineOptions, PaXSeries, PaXSimplifyEpsilon, PaXSubstituteEpsilon - options of functions related to the Package-X interface

FIESTA interface

• FSACreateMathematicaScripts - creates Mathematica scripts for evaluating the given integral with FIESTA
• FSARunIntegration - runs Mathematica scripts created by the FSACreateMatehmaticaScripts routine
• FSALoadNumericalResults - loads the numerical result from FIESTA
• FSAAdditionalPrefactor, FSAAnalyticIntegration, FSAAnalyzeWorstPower, FSAAssemblyIntegration, FSAAsyLP, FSABalanceMode, FSABalancePower, FSABalanceSamplingPoints, FSABucketSize, FSAChunkSize, FSACIntegratePath, FSAComplexMode, FSAContourShiftCoefficient, FSAContourShiftIgnoreFail, FSAContourShiftShape, FSACreateMathematicaScripts, FSAd0, FSADataPath, FSADebugAllEntries, FSADebugMemory, FSADebugParallel, FSADebugSector, FSAEpVarNegativeTermsHandling, FSAExactIntegrationOrder, FSAExactIntegrationTimeout, FSAExpandResult, FSAExpandVar, FSAFixedContourShift, FSAFixSectors, FSAGPUIntegration, FSAGraph, FSAIntegrator, FSAIntegratorOptions, FSALambdaIterations, FSALambdaSplit, FSAMathematicaBinary, FSAMathematicaKernelPath, FSAMinimizeContourTransformation, FSAMixSectors, FSAMPMin, FSAMPPrecisionShift, FSAMPSmallX, FSAMPThreshold, FSANoAVX, FSANoDatabaseLock, FSANumberOfLinks, FSANumberOfSubkernels, FSAOnlyPrepare, FSAOnlyPrepareRegions, FSAOptimizeIntegrationStrings, FSAOrderInEps, FSAParameterRules, FSAPath, FSAPMVar, FSAPolesMultiplicity, FSAPrecision, FSAPrimarySectorCoefficients, FSAQHullPath, FSARegionNumber, FSARegVar, FSARemoveDatabases, FSAResolutionMode, FSAReturnErrorWithBrackets, FSAScriptFileName, FSASDExpandAsy, FSASDExpandAsyOrder, FSASectorSplitting, FSASectorSymmetries, FSASeparateTerms, FSAShowOutput, FSAStrategy, FSAUsingC, FSAXVar, FSAZeroCheckCount - options of functions related to the FIESTA interface

C++ FIRE interface

• FIRECreateConfigFile - creates the FIRE .config file
• FIRECreateIntegralFile - creates list of integrals that need to be reduced
• FIRECreateLiteRedFiles - runs Mathematica scripts that creates the relevant lbases file
• FIRECreateStartFile - runs Mathematica scripts that creates the relevant FIRE .start file
• FIREImportResults - converts reduction results from .table files to GLIs
• FIREPrepareStartFile - prepares a Mathematica script that generates the relevant FIRE .start file
• FIRERunReduction - starts reduction using C++ FIRE from the current notebook
• FIREToFCTopology - converts the given FIRE topology to FCTopology
• FIREAutoDetectRestrictions, FIREBinaryPath, FIREBucket, FIRECompressor, FIREDatabase, FIREFthreads, FIREIntegrals, FIRELI,, FIRELthreads, FIREMathematicaKernelPath, FIREParallel, FIREProblemId, FIREPosPref, FIREShowOutput, FIRESthreads, FIREThreads, FIREUseLiteRed - options of functions related to the C++ FIRE interface

Mathematica FIRE interface

• FIREBurn - reduced the given integral using Mathematica version of FIRE
• FIREAddPropagators, FIREConfigFiles, FIREOutput, FIREPath, FIRERun, FIRESilentMode, FIREStartFile, FIREUsingFermat - options of functions related to the Mathematica FIRE interface

Kira interface

• KiraCreateConfigFiles - creates configuration files for the reduction
• KiraCreateIntegralFile - creates list of integrals that need to be reduced
• KiraCreateJobFile - creates the job file to rund the redution
• KiraGetRS - extracts the r and s parameters in the Kira/Reduze syntax
• KiraImportResults - converts reduction results to GLIs
• KiraLabelSector - labels sectors using the Reduze notation
• KiraRunReduction - starts reduction using Kira from the current notebook
• KiraBinaryPath, KiraFermatPath, KiraIncomingMomenta, KiraIntegrals, KiraJobFileName, KiraMassDimensions, KiraMomentumConservation, KiraOutgoingMomenta, KiraShowOutput - options of functions related to the KIRA interface

LoopTools interface

• LToolsEvaluate - evaluates Passarino-Veltman functions numerically using LoopTools
• LToolsLoadLibrary - loads the LoopTools library
• LToolsUnLoadLibrary - unloads the LoopTools library
• LToolsExpandInEpsilon, LToolsFullResult, LToolsImplicitPrefactor, LToolsSetLambda, LToolsSetMudim, LToolsPath - options of functions related to the LoopTools interface
• LToolsA0, LToolsA00, LToolsA0i, LToolsB0, LToolsB00, LToolsB0i, LToolsB1, LToolsB001, LToolsB11, LToolsB111, LToolsC0, LToolsC0i, LToolsClearCache, LToolsD0, LToolsD0i, LToolsDB0, LToolsDB00, LToolsDB1, LToolsDB11, LToolsDebugA, LToolsDebugAll, LToolsDebugB, LToolsDebugC, LToolsDebugD, LToolsDebugE, LToolsDR1eps, LToolsDRResult, LToolsE0, LToolsE0i, LToolsGetCmpBits, LToolsGetDebugKey, LToolsGetDelta, LToolsGetDiffEps, LToolsGetErrDigits, LToolsGetLambda, LToolsGetMaxDev, LToolsGetMinMass, LToolsGetMudim, LToolsGetUVDiv, LToolsGetVersionKey, LToolsGetWarnDigits, LToolsGetZeroEps, LToolsKeyA0, LToolsKeyAll, LToolsKeyBget, LToolsKeyC0, LToolsKeyCEget, LToolsKeyD0, LToolsKeyE0, LToolsKeyEget, LToolsLi2, LToolsLi2omx, LToolsMarkCache, LToolsPaVe, LToolsRestoreCache, LToolsSetCmpBits, LToolsSetDebugKey, LToolsSetDebugRange, LToolsSetDelta, LToolsSetDiffEps, LToolsSetErrDigits, LToolsSetMaxDev, LToolsSetMinMass, LToolsSetUVDiv, LToolsSetVersionKey, LToolsSetWarnDigits - placeholders for certain LoopTools symbols
• $LTools - global variables needed for the proper functioning of the interface

pySecDec interface

• PSDCreatePythonScripts - creates Python scripts for evaluating the given integral with pySecDec
• PSDIntegrate - creates input for pySecDec’s numerical integration routines
• PSDLoopIntegralFromPropagators - converts the given loop integral into input for pySecDec’s LoopIntegralFromPropagators
• PSDLoadNumericalResults - loads the numerical result from pySecDec
• PSDLoopPackage - creates input for pySecDec’s loop_package
• PSDLoopRegions - creates input for pySecDec’s loop_regions
• PSDSumPackage - creates input for pySecDec’s sum_package
• PSDAdditionalPrefactor, PSDAddMonomialRegulatorPower, PSDCoefficients, PSDComplexParameterRules, PSDComplexParameters, PSDComplexParameterValues, PSDContourDeformation, PSDCPUThreads, PSDDecompositionMethod, PSDDecreaseToPercentage, PSDDeformationParametersDecreaseFactor, PSDDeformationParametersMaximum, PSDDeformationParametersMinimum, PSDEnforceComplex, PSDEpsAbs, PSDEpsRel, PSDErrorMode, PSDErrorModeQmc, PSDEvaluateMinn, PSDExpansionByRegionsOrder, PSDExpansionByRegionsParameter, PSDFitFunction, PSDFlags, PSDFormExecutable, PSDFormMemoryUse, PSDFormOptimizationLevel, PSDFormThreads, PSDFormWorkSpace, PSDGenerateFileName, PSDGeneratingVectors, PSDIntegrateFileName, PSDIntegrator, PSDLoopIntegralName, PSDMaxEpsAbs, PSDMaxEpsRel, PSDMaxEval, PSDMaxIncreaseFac, PSDMinDecreaseFactor, PSDMinEpsAbs, PSDMinEpsRel, PSDMinEval, PSDMinm, PSDMinn, PSDNormalizExecutable, PSDNumberOfPresamples, PSDNumberOfThreads, PSDOutputDirectory, PSDOverwritePackageDirectory, PSDPyLinkQMCTransforms, PSDRealParameterRules, PSDRealParameters, PSDRealParameterValues, PSDRegulators, PSDRequestedOrder, PSDResetCudaAfter, PSDSplit, PSDTransform, PSDVerbose, PSDVerbosity - options of functions related to the pySecDec interface

QGRAF interface

• QGConvertToFC - converts QGRAF output into FeynCalc input
• QGCreateAmp - generates Feynman amplitudes and diagrams
• QGLoadInsertions - loads sets of Feynman rules
• QGTZFCreateFieldStyles - prepares TikZ-Feynman stylings for the occurring fields
• QGTZFCreateTeXFiles - prepares TeX form of Feynman diagrams
• QGPolarization - placeholder for the polarization of a field
• QGPropagator - placeholder for the propagator of a field
• QGTruncatedPolarization - placeholder for the truncated external state of a field
• QGVertex - placeholder for the interaction vertex of some fields
• $QGScriptsDirectory, $QGInsertionsDirectory, $QGLogOutputAmplitudes, $QGLogOutputDiagrams, $QGModelsDirectory, $QGStylesDirectory, $QGTeXDirectory, QGAmplitudeStyle, QGBinaryFile, QGCleanUpOutputDirectory, QGDiagramStyle, QGInsertionRule, QGLoopMomentum, QGModel, QGOptionalStatements, QGOptions, QGOutputAmplitudes, QGOutputDiagrams, QGOutputDirectory, QGOverwriteExistingAmplitudes, QGOverwriteExistingDiagrams, QGSaveInputFile, QGShowOutput, QGFieldStyles - options of functions related to the QGRAF interface