The Polarized Transition Matrix Element Agq(N)A_{gq}(N) of the Variable Flavor Number Scheme at O(αs3)O(α_s^3)

preprint2021arXivOpen access

Abstract

We calculate the polarized massive operator matrix element Agq(3)(N)A_{gq}^{(3)}(N) to 3-loop order in Quantum Chromodynamics analytically at general values of the Mellin variable NN both in the single- and double-mass case in the Larin scheme. It is a transition function required in the variable flavor number scheme at O(αs3)O(α_s^3). We also present the results in momentum fraction space.

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