1205.4184 (Johannes Blümlein et al.)

The $O(α_s^3 n_f T_F^2 C_{A,F})$} Contributions to the Gluonic
Massive Operator Matrix Elements    [PDF]

Johannes Blümlein, Alexander Hasselhuhn, Sebastian Klein, Carsten Schneider

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.

View original: http://arxiv.org/abs/1205.4184