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

Abstract

We calculate the massive operator matrix element to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable . This is the first complete transition function needed in the variable flavor number scheme obtained at . A first independent recalculation is performed for the contributions of the 3-loop anomalous dimension .