The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Johannes Blümlein, Peter Marquard, Carsten Schneider, K. Schönwald

Research output: Contribution to journalArticlepeer-review

Abstract

We calculate the polarized three--loop singlet anomalous dimensions and splitting functions in QCD in the M--scheme by using the traditional method of space--like off--shell massless operator matrix elements. This is a gauge--dependent framework. Here one obtains the anomalous dimensions without referring to gravitational currents. We also calculate the non--singlet splitting function $Delta P_{rm qq}^{(2), rm s, NS}$ and compare our results to the literature. arXiv:2111.12401 [hep-ph]
Original languageEnglish
Article number193
Pages (from-to)0-32
Number of pages33
JournalThe Journal of High Energy Physics
Volume2022
Issue number1
DOIs
Publication statusPublished - 2022

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

JKU Focus areas

  • Digital Transformation

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