pith. machine review for the scientific record. sign in

arxiv: hep-ph/9802376 · v1 · submitted 1998-02-20 · ✦ hep-ph · hep-th

Recognition: unknown

Group theory factors for Feynman diagrams

Authors on Pith no claims yet
classification ✦ hep-ph hep-th
keywords groupalgorithmsfactorsformulastheorydiagramsdynkinfeynman
0
0 comments X
read the original abstract

We present algorithms for the group independent reduction of group theory factors of Feynman diagrams. We also give formulas and values for a large number of group invariants in which the group theory factors are expressed. This includes formulas for various contractions of symmetric invariant tensors, formulas and algorithms for the computation of characters and generalized Dynkin indices and trace identities. Tables of all Dynkin indices for all exceptional algebras are presented, as well as all trace identities to order equal to the dual Coxeter number. Further results are available through efficient computer algorithms (see http://norma.nikhef.nl/~t58/ and http://norma.nikhef.nl/~t68/ ).

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The photon-energy spectrum in $B\to X_s\gamma$ to N$^3$LO: light-fermion and large-$N_{\rm c}$ corrections

    hep-ph 2026-03 unverdicted novelty 8.0

    N3LO calculation of the B to Xs gamma photon spectrum including complete light-fermion corrections, two massive fermion loops, and large-Nc terms, with improved results in kinetic and MSR mass schemes.

  2. Heavy-Quark Condensate and Vacuum Energy Anomalous Dimension at Five Loops

    hep-ph 2026-05 unverdicted novelty 7.0

    The heavy-quark condensate is computed at five-loop order in QCD with massive quarks, confirming the five-loop vacuum anomalous dimension.