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: Working paper and reports › Preprint

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
Place of Publication	Hagenberg/Linz
Publisher	RISC/JKU
Number of pages	12
Publication status	Published - Jul 2022

Publication series

Name	RISC Report Series
No.	22-09

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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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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AU - Marquard, Peter

AU - Schneider, Carsten

AU - Schönwald, K.

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N2 - 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.

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 - Preprint

T3 - RISC Report Series

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

PB - RISC/JKU

CY - Hagenberg/Linz

ER -