Complete FeynCalc and FeynHelpers documentation, source code, and examples

The feyncalc-reference/ directory contains the complete external reference materials for the FeynCalc project:

• Total Files: 4,663 (including git history)
• Main Subdirectories: 3
  • feyncalc/ - FeynCalc source + documentation
  • feynhelpers/ - FeynHelpers source + documentation
  • feynhelpers-manual/ - FeynHelpers LaTeX manual

FeynCalc complete distribution

feyncalc/
├── FeynCalc/
│   ├── Dirac/ (Dirac algebra functions)
│   ├── Lorentz/ (Lorentz algebra functions)
│   ├── SUN/ (SU(N) color functions)
│   ├── LoopIntegrals/ (Loop integral functions)
│   ├── Feynman/ (Feynman diagram functions)
│   ├── Database/ (Topology database)
│   ├── Tables/ (Reference cards & symmetries)
│   ├── AddOns/ (FeynArtsLoader, TARCER, FVProjection, etc.)
│   └── Documentation/
│       ├── Mathematica/ (*.nb & *.m files)
│       │   ├── Dirac/
│       │   ├── Lorentz/
│       │   ├── LoopIntegrals/
│       │   ├── SUN/
│       │   ├── Main/
│       │   └── Tutorials/
│       ├── Markdown/ (*.md files)
│       ├── Examples/ (Working examples)
│       │   ├── QED/ (QED examples)
│       │   ├── QCD/ (QCD examples)
│       │   ├── EW/ (Electroweak)
│       │   ├── MSSM/ (MSSM)
│       │   ├── FeynRules/ (FeynRules integration)
│       │   └── MasterIntegrals/
│       └── Scripts/ (Build & filter scripts)
├── Tests/ (Comprehensive test suites)
│   ├── Dirac/
│   ├── Lorentz/
│   ├── SUN/
│   ├── LoopIntegrals/
│   └── IntegrationTests/
└── .git/ (Git history)

Use For:

• Complete function reference (Dirac, Lorentz, SUN, Loop functions)
• Official examples & tutorials
• Understanding internal structures
• Testing & validation

FeynHelpers complete distribution

feynhelpers/
├── Documentation/
│   ├── Markdown/ (Quick reference)
│   │   └── Extra/ (Additional guides)
│   ├── Mathematica/ (Detailed documentation)
│   │   ├── FIRE/ (IBP reduction)
│   │   ├── LoopTools/ (1-loop evaluation)
│   │   ├── Kira/ (Advanced reduction)
│   │   ├── FIESTA/ (Numerical evaluation)
│   │   ├── PackageX/ (Package-X)
│   │   ├── PySecDec/ (PySecDec)
│   │   ├── Fermat/ (Fermat integration)
│   │   ├── QGRAF/ (QGRAF diagram generation)
│   │   └── Generic/ (General functions)
│   └── Examples/ (Worked examples)
│       ├── QED/
│       ├── QCD/
│       ├── Misc/
│       ├── FIESTA/
│       └── pySecDec/
├── Interfaces/ (Tool integrations)
│   ├── FIRE/
│   ├── LoopTools/
│   ├── Kira/
│   ├── FIESTA/
│   ├── PackageX/
│   ├── PySecDec/
│   ├── QGRAF/
│   └── Fermat/
├── ExternalTools/ (External tool binaries & configs)
│   ├── QGRAF/
│   ├── Fermat/
│   └── OneLoopFromPackageX/
├── Tests/ (Tool integration tests)
│   ├── FIRE/
│   ├── LoopTools/
│   ├── Kira/
│   ├── FIESTA/
│   ├── PackageX/
│   ├── PySecDec/
│   ├── QGRAF/
│   └── Fermat/
└── .git/ (Git history)

Use For:

• Tool-specific integration guides (FIRE, LoopTools, Kira, etc.)
• Function signatures & options
• Tool configuration
• Troubleshooting & examples

FeynHelpers LaTeX manual with full documentation

feynhelpers-manual/
├── FeynHelpersManual.tex (Main LaTeX document)
├── includes.tex (Included sections)
├── pages/ (Documentation pages)
├── img/ (Diagrams & images)
│   ├── *.svg (Vector graphics)
│   └── *.pdf (Rasterized images)
├── .github/workflows/ (CI/CD)
└── .git/ (Git history)

Use For:

• Complete manual (PDF or compiled version)
• High-quality diagrams
• Official documentation
• Reference material layout

(* Look up a function in FeynCalc *)
(* Visit: feyncalc-reference/feyncalc/Documentation/Markdown/Main/ *)
(* or: feyncalc-reference/feyncalc/FeynCalc/Documentation/Mathematica/Dirac/ *)

(* Configure FIRE *)
(* Read: feyncalc-reference/feynhelpers/Documentation/Mathematica/FIRE/ *)
(* Examples: feyncalc-reference/feynhelpers/Documentation/Examples/ *)

(* Study LorentzIndex, SUNIndex, etc *)
(* View source: feyncalc-reference/feyncalc/FeynCalc/Shared/ *)

(* Official FeynCalc examples *)
Get["feyncalc-reference/feyncalc/FeynCalc/Examples/QED/Tree/Mathematica/..."]

(* Official FeynHelpers examples *)
Get["feyncalc-reference/feynhelpers/Documentation/Examples/..."]

• Source files: ~1,200 .m files
• Documentation: ~300 Markdown + ~200 Mathematica files
• Examples: ~100+ working examples
• Tests: ~150+ test files

• Source files: ~800 .m files
• Documentation: ~200 Markdown + ~150 Mathematica files
• Examples: ~50+ working examples
• Tests: ~80+ test files

• Pages: Comprehensive (100+ pages)
• Diagrams: ~50+ images (SVG + PDF)
• Format: LaTeX source + images

feyncalc-reference/ (Source of Truth)
    ↓
    ├─→ feyncalc-core-skill/references/
    ├─→ feyncalc-qed-skill/references/
    ├─→ feyncalc-qcd-skill/references/
    └─→ feyncalc-tools-skill/references/
        
+ FEYNHELPERS_REFERENCE.md (extracted from feynhelpers/)
    ↓
    └─→ Each skill's CURATORS_GUIDE.md (references extracted)

Each skill extracts domain-specific content from feyncalc-reference/:

Core Skill extracts:

• Lorentz algebra (vectors, metrics, indices)
• Dirac algebra (spinors, traces, gamma matrices)
• Data structures (internal FeynCalc objects)

QED Skill extracts:

• QED examples (tree & loop)
• Photon & electron processes
• Vacuum polarization references

QCD Skill extracts:

• QCD examples (tree & loop)
• Color algebra (SU(3), ghost fields)
• Renormalization group information

Tools Skill extracts:

• FIRE configuration & examples
• LoopTools reference & usage
• Kira, FIESTA, Package-X guides

1. Complete Function Reference

   • Look up exact function signatures
   • Understand all available options
   • See internal implementation

2. Official Examples

   • Working code directly from FeynCalc team
   • Verified & tested implementations
   • Different complexity levels

3. Tool Integration

   • Complete FIRE/LoopTools/Kira setup
   • Configuration options
   • Troubleshooting guides

4. Understanding Internals

   • How FeynCalc structures work
   • Database queries
   • Advanced techniques

• Quick start (too overwhelming)
• Learning basics (too much detail)
• Finding specific examples (too many files)

→ Use feyncalc-*-skill/ instead for these!

• Find a function: feyncalc-reference/feyncalc/Documentation/Markdown/
• Use FIRE: feyncalc-reference/feynhelpers/Documentation/Mathematica/FIRE/
• Run an example: feyncalc-reference/feyncalc/Examples/ or feyncalc-reference/feynhelpers/Documentation/Examples/
• Manual: feyncalc-reference/feynhelpers-manual/FeynHelpersManual.tex (compile to PDF)

Status: Reference materials integrated and organized
Total Files: 4,663
Last Updated: 2026-05-15