The three-loop splitting functions Pqg(2) and Pgg(2,NF)

The three-loop splitting functions Pqg(2) and Pgg(2,NF)

We calculate the unpolarized twist-2 three-loop splitting functions Pqg(2)(x) and Pgg(2,NF)(x) and the associated anomalous dimensions using massive three-loop operator matrix elements. While we calculate Pgg(2,NF)(x) directly, Pqg(2)(x) is computed from 1200 even moments, without any structural pre...

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Main Authors: J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider
Format: Article
Language:English
Published: Elsevier 2017-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321317301992
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spelling doaj-700147622a0f4b6aab98f33fafdf152c2020-11-24T22:51:32ZengElsevierNuclear Physics B0550-32131873-15622017-09-01922C14010.1016/j.nuclphysb.2017.06.004The three-loop splitting functions Pqg(2) and Pgg(2,NF)J. Ablinger0A. Behring1J. Blümlein2A. De Freitas3A. von Manteuffel4C. Schneider5Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, AustriaDeutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyDeutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyDeutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyDepartment of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USAResearch Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, AustriaWe calculate the unpolarized twist-2 three-loop splitting functions Pqg(2)(x) and Pgg(2,NF)(x) and the associated anomalous dimensions using massive three-loop operator matrix elements. While we calculate Pgg(2,NF)(x) directly, Pqg(2)(x) is computed from 1200 even moments, without any structural prejudice, using a hierarchy of recurrences obtained for the corresponding operator matrix element. The largest recurrence to be solved is of order 12 and degree 191. We confirm results in the foregoing literature.http://www.sciencedirect.com/science/article/pii/S0550321317301992
collection DOAJ
language English
format Article
sources DOAJ
author J. Ablinger
A. Behring
J. Blümlein
A. De Freitas
A. von Manteuffel
C. Schneider
spellingShingle J. Ablinger
A. Behring
J. Blümlein
A. De Freitas
A. von Manteuffel
C. Schneider
The three-loop splitting functions Pqg(2) and Pgg(2,NF)
Nuclear Physics B
author_facet J. Ablinger
A. Behring
J. Blümlein
A. De Freitas
A. von Manteuffel
C. Schneider
author_sort J. Ablinger
title The three-loop splitting functions Pqg(2) and Pgg(2,NF)
title_short The three-loop splitting functions Pqg(2) and Pgg(2,NF)
title_full The three-loop splitting functions Pqg(2) and Pgg(2,NF)
title_fullStr The three-loop splitting functions Pqg(2) and Pgg(2,NF)
title_full_unstemmed The three-loop splitting functions Pqg(2) and Pgg(2,NF)
title_sort three-loop splitting functions pqg(2) and pgg(2,nf)
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2017-09-01
description We calculate the unpolarized twist-2 three-loop splitting functions Pqg(2)(x) and Pgg(2,NF)(x) and the associated anomalous dimensions using massive three-loop operator matrix elements. While we calculate Pgg(2,NF)(x) directly, Pqg(2)(x) is computed from 1200 even moments, without any structural prejudice, using a hierarchy of recurrences obtained for the corresponding operator matrix element. The largest recurrence to be solved is of order 12 and degree 191. We confirm results in the foregoing literature.
url http://www.sciencedirect.com/science/article/pii/S0550321317301992
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