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

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

The three-loop polarized singlet 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 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.

Original language	English
Place of Publication	Hagenberg, Linz
Publisher	RISC, JKU
Number of pages	29
Publication status	Published - Nov 2021

Publication series

Name	RISC Report Series
No.	21-19
ISSN (Print)	2791-4267

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

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\}\textasciicircum{}\{(2), rm s, NS\}\$ and compare our results to the literature.",

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AU - Blümlein, Johannes

AU - Marquard, Peter

AU - Schneider, Carsten

AU - Schönwald, K.

PY - 2021/11

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N2 - 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.

AB - 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.

M3 - Preprint

T3 - RISC Report Series

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

PB - RISC, JKU

CY - Hagenberg, Linz

ER -