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arXiv · 1205.4184

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

Johannes Blümlein·Alexander Hasselhuhn·Sebastian Klein·Carsten Schneider
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Abstract

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.

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Johannes Blümlein, Alexander Hasselhuhn, Sebastian Klein, Carsten Schneider. 2012-05-18. The $O(\alpha_s^3 n_f T_F^2 C_{A,F})$} Contributions to the Gluonic Massive Operator Matrix Elements. https://doi.org/10.1016/j.nuclphysb.2012.09.001

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