The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function F2(x,Q2) and transversity
J. Ablinger (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, Linz, A-4040, Austria); A. Behring (Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany); J. Blümlein (Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany); A. De Freitas (Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany); A. Hasselhuhn (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, Linz, A-4040, Austria); et al - Show all 9 authors
We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function F2(x,Q2) in the asymptotic region Q2≫m2 and the associated operator matrix element Aqq,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(NF) 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 polylogarithms in x -space. Numerical results are presented for the non-singlet charm quark contribution to F2(x,Q2) .
