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

J. Ablinger; A. Behring; J. Blümlein; A. De Freitas; A. von Manteuffel; C. Schneider

doi:10.1016/j.nuclphysb.2017.06.004

Nuclear Physics B (Sep 2017)

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

J. Ablinger,
A. Behring,
J. Blümlein,
A. De Freitas,
A. von Manteuffel,
C. Schneider

Affiliations

J. Ablinger: Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, Austria
A. Behring: Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany
J. Blümlein: Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany
A. De Freitas: Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany
A. von Manteuffel: Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA
C. Schneider: Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, Austria

DOI: https://doi.org/10.1016/j.nuclphysb.2017.06.004
Journal volume & issue: Vol. 922, no. C
pp. 1 – 40

Abstract

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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.

Published in Nuclear Physics B

ISSN: 0550-3213 (Print); 1873-1562 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity
Website: http://www.journals.elsevier.com/nuclear-physics-b/

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