The $O(\alpha_s^3 n_f T_F^2 C_{A,F})$} Contributions to the Gluonic   Massive Operator Matrix Elements
  The $O(\alpha_s^3 n_f T_F^2 C_{A,F})$ terms to the massive gluonic operator matrix elements are calculated for general values of the Mellin variable $N$. These twist-2 matrix elements occur as transition functions in the variable flavor number scheme at NNLO. The calculation uses sum-representations in generalized hypergeometric series turning into harmonic sums. The analytic continuation to complex values of $N$ is provided. 
Johannes Bl\"umlein, Alexander Hasselhuhn, Sebastian Klein and Carsten   Schneider
hep-ph hep-ex math-ph math.MP