The two-mass contribution to the three-loop pure singlet operator matrix element

Ablinger, J. (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, Linz, A-4040, Austria) ; Blümlein, J. (Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany) ; De Freitas, A. (Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany) ; Schneider, C. (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, Linz, A-4040, Austria) ; Schönwald, K. (Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany)

28 December 2017

Abstract: We present the two-mass QCD contributions to the pure singlet operator matrix element at three loop order in x -space. These terms are relevant for calculating the structure function F2(x,Q2) at O(αs3) as well as for the matching relations in the variable flavor number scheme and the heavy quark distribution functions at the same order. The result for the operator matrix element is given in terms of generalized iterated integrals that include square root letters in the alphabet, depending also on the mass ratio through the main argument. Numerical results are presented.


Published in: Nuclear Physics B (2017)
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2017.12.018
License: CC-BY-3.0



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