paper

The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_{2} (x, Q^{2})$ and the Anomalous Dimension

arXiv:1409.1135 · doi:10.1016/j.nuclphysb.2014.10.008

Abstract

The pure singlet asymptotic heavy flavor corrections to 3-loop order for the deep-inelastic scattering structure function $F_{2} (x, Q^{2})$ and the corresponding transition matrix element $A_{Qq}^{(3), PS}$ 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 $F_{2} (x, Q^{2})$ are presented.

85 pages Latex, 14 Figures, 2 style files

The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function F2​(x,Q2) and the Anomalous Dimension

Abstract

The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_{2} (x, Q^{2})$ and the Anomalous Dimension