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The [Formula: see text] massive operator matrix elements of [Formula: see text] for the structure function [Formula: see text] and transversity

The contributions [Formula: see text] to the [Formula: see text] massive operator matrix elements describing the heavy flavor Wilson coefficients in the limit [Formula: see text] are computed for the structure function [Formula: see text] and transversity for general values of the Mellin variable N....

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Autores principales: Ablinger, J., Blümlein, J., Klein, S., Schneider, C., Wißbrock, F.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier B.V 2011
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4617472/
https://www.ncbi.nlm.nih.gov/pubmed/27293308
http://dx.doi.org/10.1016/j.nuclphysb.2010.10.021
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author Ablinger, J.
Blümlein, J.
Klein, S.
Schneider, C.
Wißbrock, F.
author_facet Ablinger, J.
Blümlein, J.
Klein, S.
Schneider, C.
Wißbrock, F.
author_sort Ablinger, J.
collection PubMed
description The contributions [Formula: see text] to the [Formula: see text] massive operator matrix elements describing the heavy flavor Wilson coefficients in the limit [Formula: see text] are computed for the structure function [Formula: see text] and transversity for general values of the Mellin variable N. Here, for two matrix elements, [Formula: see text] and [Formula: see text] , the complete result is obtained. A first independent computation of the contributions to the 3-loop anomalous dimensions [Formula: see text] , [Formula: see text] , and [Formula: see text] is given. In the computation advanced summation technologies for nested sums over products of hypergeometric terms with harmonic sums have been used. For intermediary results generalized harmonic sums occur, while the final results can be expressed by nested harmonic sums only.
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spelling pubmed-46174722016-06-09 The [Formula: see text] massive operator matrix elements of [Formula: see text] for the structure function [Formula: see text] and transversity Ablinger, J. Blümlein, J. Klein, S. Schneider, C. Wißbrock, F. Nucl Phys B Article The contributions [Formula: see text] to the [Formula: see text] massive operator matrix elements describing the heavy flavor Wilson coefficients in the limit [Formula: see text] are computed for the structure function [Formula: see text] and transversity for general values of the Mellin variable N. Here, for two matrix elements, [Formula: see text] and [Formula: see text] , the complete result is obtained. A first independent computation of the contributions to the 3-loop anomalous dimensions [Formula: see text] , [Formula: see text] , and [Formula: see text] is given. In the computation advanced summation technologies for nested sums over products of hypergeometric terms with harmonic sums have been used. For intermediary results generalized harmonic sums occur, while the final results can be expressed by nested harmonic sums only. Elsevier B.V 2011-03-01 /pmc/articles/PMC4617472/ /pubmed/27293308 http://dx.doi.org/10.1016/j.nuclphysb.2010.10.021 Text en © 2011 Elsevier B.V. https://creativecommons.org/licenses/by/4.0/This work is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/) , which allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use.
spellingShingle Article
Ablinger, J.
Blümlein, J.
Klein, S.
Schneider, C.
Wißbrock, F.
The [Formula: see text] massive operator matrix elements of [Formula: see text] for the structure function [Formula: see text] and transversity
title The [Formula: see text] massive operator matrix elements of [Formula: see text] for the structure function [Formula: see text] and transversity
title_full The [Formula: see text] massive operator matrix elements of [Formula: see text] for the structure function [Formula: see text] and transversity
title_fullStr The [Formula: see text] massive operator matrix elements of [Formula: see text] for the structure function [Formula: see text] and transversity
title_full_unstemmed The [Formula: see text] massive operator matrix elements of [Formula: see text] for the structure function [Formula: see text] and transversity
title_short The [Formula: see text] massive operator matrix elements of [Formula: see text] for the structure function [Formula: see text] and transversity
title_sort [formula: see text] massive operator matrix elements of [formula: see text] for the structure function [formula: see text] and transversity
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4617472/
https://www.ncbi.nlm.nih.gov/pubmed/27293308
http://dx.doi.org/10.1016/j.nuclphysb.2010.10.021
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