The three-loop single mass polarized pure singlet operator matrix element
J. Ablinger (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz, Austria); A. Behring (Institut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie (KIT), Karlsruhe, Germany); J. Blümlein (Deutsches Elektronen–Synchrotron, DESY, Zeuthen, Germany); A. De Freitas (Deutsches Elektronen–Synchrotron, DESY, Zeuthen, Germany); A. von Manteuffel (Department of Physics and Astronomy, Michigan State University, East Lansing, USA); et al - Show all 7 authors
We calculate the massive polarized three-loop pure singlet operator matrix element in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient 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.
