The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension

Nuclear Physics B. 2015;890:48-151

 

Journal Homepage

Journal Title: Nuclear Physics B

ISSN: 0550-3213 (Print); 1873-1562 (Online)

Publisher: Elsevier

LCC Subject Category: Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity

Country of publisher: Netherlands

Language of fulltext: English

Full-text formats available: PDF, HTML

 

AUTHORS

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; Corresponding author.)
A. De Freitas (Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany)
A. von Manteuffel (PRISMA Cluster of Excellence, Institute of Physics, J. Gutenberg University, D-55099 Mainz, Germany)
C. Schneider (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040 Linz, Austria)

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Time From Submission to Publication: 12 weeks

 

Abstract | Full Text

The pure singlet asymptotic heavy flavor corrections to 3-loop order for the deep-inelastic scattering structure function F2(x,Q2) and the corresponding transition matrix element AQq(3),PS in the variable flavor number scheme are computed. In Mellin-N space these inclusive quantities depend on generalized harmonic sums. We also recalculate the complete 3-loop pure singlet anomalous dimension for the first time. Numerical results for the Wilson coefficients, the operator matrix element and the contribution to the structure function F2(x,Q2) are presented.