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

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

We calculate the unpolarized and polarized three–loop anomalous dimensions and splitting functions PNS+,PNS− and PNSs in QCD in the MS‾ scheme by using the traditional method of space–like off shell massless operator matrix elements. This is a gauge–dependent framework. For the first time we also ca...

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Main Authors: J. Blümlein, P. Marquard, C. Schneider, K. Schönwald
Format: Article
Language:English
Published: Elsevier 2021-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032132100239X
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spelling doaj-d6e8a6186f9f44ec8a74b2acf87901e02021-10-01T04:51:14ZengElsevierNuclear Physics B0550-32132021-10-01971115542The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elementsJ. Blümlein0P. Marquard1C. Schneider2K. Schönwald3Deutsches Elektronen–Synchrotron DESY, Platanenallee 6, D-15738 Zeuthen, Germany; Corresponding author.Deutsches Elektronen–Synchrotron DESY, Platanenallee 6, D-15738 Zeuthen, GermanyJohannes Kepler University Linz, Research Institute for Symbolic Computation (RISC), Altenberger Straße 69, A-4040 Linz, AustriaInstitut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie (KIT), D-76128 Karlsruhe, GermanyWe calculate the unpolarized and polarized three–loop anomalous dimensions and splitting functions PNS+,PNS− and PNSs in QCD in the MS‾ scheme by using the traditional method of space–like off shell massless operator matrix elements. This is a gauge–dependent framework. For the first time we also calculate the three–loop anomalous dimensions PNS±,tr for transversity directly. We compare our results to the literature.http://www.sciencedirect.com/science/article/pii/S055032132100239X
collection DOAJ
language English
format Article
sources DOAJ
author J. Blümlein
P. Marquard
C. Schneider
K. Schönwald
spellingShingle J. Blümlein
P. Marquard
C. Schneider
K. Schönwald
The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
Nuclear Physics B
author_facet J. Blümlein
P. Marquard
C. Schneider
K. Schönwald
author_sort J. Blümlein
title The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
title_short The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
title_full The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
title_fullStr The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
title_full_unstemmed The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
title_sort three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2021-10-01
description We calculate the unpolarized and polarized three–loop anomalous dimensions and splitting functions PNS+,PNS− and PNSs in QCD in the MS‾ scheme by using the traditional method of space–like off shell massless operator matrix elements. This is a gauge–dependent framework. For the first time we also calculate the three–loop anomalous dimensions PNS±,tr for transversity directly. We compare our results to the literature.
url http://www.sciencedirect.com/science/article/pii/S055032132100239X
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