The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function F2(x, Q2) and transversity

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function F-2(x, Q(2)) in the asymptotic region Q(2) >> m(2) and the associated operator matrix element A(qq,Q)((3),NS) (N) to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable N. This matrix element is associated with the vector current and axial vector current for the even and the odd moments N, respectively. We also calculate the corresponding operator matrix elements for transversity, compute the contributions to the 3-loop anomalous dimensions to O(N-F) and compare to results in the literature. The 3-loop matching of the flavor non-singlet distribution in the variable flavor number scheme is derived. All results can be expressed in terms of nested harmonic sums in N space and harmonic poly-logarithms in x-space. Numerical results are presented for the non-singlet charm quark contribution to F-2(x, Q(2)). (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/).