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

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arxiv 1402.0359 v1 pith:KMBC5YWF submitted 2014-02-03 hep-ph

J. Ablinger , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , M. Round , C. Schneider , F. Wissbrock This is my paper · ORCID
classification hep-ph
keywords variablealphaelementfirstflavorloopmatrixnumber
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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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Cited by 5 Pith papers

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