arXiv:1205.4184·v1·High Energy Physics — Phenomenology

The $O (α_{s}^{3} n_{f} T_{F}^{2} C_{A, F})$ } Contributions to the Gluonic Massive Operator Matrix Elements

Johannes Blümlein🇩🇪 · Alexander Hasselhuhn🇩🇪 · Sebastian Klein🇩🇪 · Carsten Schneider🇦🇹

Abstract

The $O (α_{s}^{3} n_{f} T_{F}^{2} C_{A, F})$ 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.

Comments: 16 pages, 1 style file

The O(αs3​nf​TF2​CA,F​)} Contributions to the Gluonic Massive Operator Matrix Elements

Abstract

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The $O (α_{s}^{3} n_{f} T_{F}^{2} C_{A, F})$ } Contributions to the Gluonic Massive Operator Matrix Elements

Citation historyopen in Citation History ↗