FORM, Diagrams and Topologies

Abstract

We discuss a number of FORM features that are essential in the automatic processing of very large numbers of diagrams as used in the Forcer program for 4-loop massless propagator diagrams. Most of these features are new.

16 pages, LaTeX (PoS style) using axodraw2.sty. To appear in the proceedings of `Loops & Legs 2016', Leipzig (Germany), April 2016

References in corpus (11)

• New features of FORM
• FORM version 4.0
• Reduze - Feynman Integral Reduction in C++
• Reduze 2 - Distributed Feynman Integral Reduction
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
• Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve
• First Forcer results on deep-inelastic scattering and related quantities
• Full $\mathcal{O}(\alpha )$ electroweak radiative corrections to $e^{+}{e}^{-}\to e^{+}{e}^{-}\gamma$ at the ILC with GRACE-Loop
• Non-singlet coefficient functions for charged-current deep-inelastic scattering to the third order in QCD

Cited by in corpus (4)

• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• Four-loop QCD propagators and vertices with one vanishing external momentum
• Diagrammatic Cancellations and the Gauge Dependence of QED