The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure   Function $F_2(x,Q^2)$ and the Anomalous Dimension
  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 $A_{Qq}^{(3), \sf PS}$ 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. 
J. Ablinger, A. Behring, J. Bl\"umlein, A. De Freitas, A. von   Manteuffel, and C. Schneider
hep-ph hep-ex hep-th