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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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Detalles Bibliográficos
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
Descripción
Sumario: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.