The logarithmic contributions to the [Formula: see text] asymptotic massive Wilson coefficients and operator matrix elements in deeply inelastic scattering.

We calculate the logarithmic contributions to the massive Wilson coefficients for deep-inelastic scattering in the asymptotic region [Formula: see text] to 3-loop order in the fixed flavor number scheme and present the corresponding expressions for the massive operator matrix elements needed in the variable flavor number scheme. Explicit expressions are given in Mellin [Formula: see text]-space.

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. 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.