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arXiv · 1402.0359

The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(\alpha_s^3)

J. Ablinger·J. Blümlein·A. De Freitas·A. Hasselhuhn·A. von Manteuffel·M. Round·C. Schneider·F. Wissbrock
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Abstract

We calculate the massive operator matrix element $A_{gq}^{(3)}(N)$ to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable $N$. This is the first complete transition function needed in the variable flavor number scheme obtained at $O(\alpha_s^3)$. A first independent recalculation is performed for the contributions $\propto N_F$ of the 3-loop anomalous dimension $\gamma_{gq}^{(2)}(N)$.

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J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider, F. Wissbrock. 2014-02-03. The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(\alpha_s^3). https://doi.org/10.1016/j.nuclphysb.2014.02.007

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