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 variableN. 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.
Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, Austria.
J
J
Ablinger
Deutsches Elektronen Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany.
J
J
Blümlein
Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, D-52056 Aachen, Germany.
S
S
Klein
Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, Austria.
C
C
Schneider
Deutsches Elektronen Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany.
F
F
Wißbrock