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

J. Ablinger (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, Linz, A-4040, Austria) ; A. Behring (Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany) ; J. Blümlein (Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany) ; A. De Freitas (Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany) ; A. von Manteuffel (PRISMA Cluster of Excellence, Institute of Physics, J. Gutenberg University, Mainz, D-55099, Germany) ; et al. - Show all 6 authors

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.

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      "title": "The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension"
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      "value": "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."
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Published on:
17 October 2014
Publisher:
Elsevier
Published in:
Nuclear Physics B (2015)

Pages 48-151
DOI:
https://doi.org/10.1016/j.nuclphysb.2014.10.008
Copyrights:
The Authors
Licence:
CC-BY-3.0

Fulltext files: