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

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

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 gener...

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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 2015-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032131400306X
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spelling doaj-1329f67733634ec4a95e5a2a50ddf87b2020-11-24T23:46:56ZengElsevierNuclear Physics B0550-32132015-01-0189048151The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimensionJ. 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, Germany; Corresponding author.Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, GermanyPRISMA Cluster of Excellence, Institute of Physics, J. Gutenberg University, D-55099 Mainz, GermanyResearch Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040 Linz, AustriaThe 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.http://www.sciencedirect.com/science/article/pii/S055032131400306X
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 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension
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 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension
title_short The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension
title_full The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension
title_fullStr The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension
title_full_unstemmed The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension
title_sort 3-loop pure singlet heavy flavor contributions to the structure function f2(x,q2) and the anomalous dimension
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2015-01-01
description 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.
url http://www.sciencedirect.com/science/article/pii/S055032131400306X
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