The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension
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. von Manteuffel (PRISMA Cluster of Excellence, Institute of Physics, J. Gutenberg University, Mainz, D-55099, Germany); et al - Show all 6 authors
The pure singlet asymptotic heavy flavor corrections to 3-loop order for the deep-inelastic scattering structure function F2(x,Q2) and the corresponding transition matrix element AQq(3),PS in the variable flavor number scheme are computed. In Mellin- N space these inclusive quantities depend on generalized harmonic sums. We also recalculate the complete 3-loop pure singlet anomalous dimension for the first time. Numerical results for the Wilson coefficients, the operator matrix element and the contribution to the structure function F2(x,Q2) are presented.
