The 3-loop anomalous dimensions from off-shell operator matrix elements

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

The 3-loop anomalous dimensions from off-shell operator matrix elements

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

Research Institute for Symbolic Computation

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings

Abstract

We report on the calculation of the three--loop polarized and unpolarized flavor non--singlet and the polarized singlet anomalous dimensions using massless off--shell operator matrix elements in a gauge--variant framework. We also reconsider the unpolarized two--loop singlet anomalous dimensions and correct errors in the foregoing literature.

Original language	English
Title of host publication	Proceedings of Loops and Legs in Quantum Field Theory, PoS(LL2022) 48
Editors	P. Marquard, M. Steinhauser
Pages	1-12
Number of pages	12
Publication status	Published - Jul 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

Cite this

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title = "The 3-loop anomalous dimensions from off-shell operator matrix elements",

abstract = "We report on the calculation of the three--loop polarized and unpolarized flavor non--singlet and the polarized singlet anomalous dimensions using massless off--shell operator matrix elements in a gauge--variant framework. We also reconsider the unpolarized two--loop singlet anomalous dimensions and correct errors in the foregoing literature.",

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AB - We report on the calculation of the three--loop polarized and unpolarized flavor non--singlet and the polarized singlet anomalous dimensions using massless off--shell operator matrix elements in a gauge--variant framework. We also reconsider the unpolarized two--loop singlet anomalous dimensions and correct errors in the foregoing literature.

M3 - Conference proceedings

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BT - Proceedings of Loops and Legs in Quantum Field Theory, PoS(LL2022) 48

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