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The three-loop single mass polarized pure singlet operator matrix element (1912.02536v1)

Published 5 Dec 2019 in hep-ph and hep-th

Abstract: We calculate the massive polarized three-loop pure singlet operator matrix element $A_{Qq}{(3), \rm PS}$ in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient $H_{Qq}{(3),\rm PS}$ in deep-inelastic scattering and constitutes a three-loop transition matrix element in the variable flavor number scheme. We provide analytic results in Mellin $N$ and in $x$ space and study the behaviour of this operator matrix element in the region of small and large values of the Bjorken variable $x$.

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