Abstract
We argue that the renormalization factors for non-local quark-antiquark and gluon operators at space-like and time-like separations connected by a Wilson line coincide to all orders in perturbation theory. We calculate the anomalous dimensions and renormalization constants of quark-antiquark and gluon operators to three- and two-loop accuracy, respectively, and also compute vacuum expectation values of these operators to three-loop accuracy.
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Braun, V.M., Chetyrkin, K.G. & Kniehl, B.A. Renormalization of parton quasi-distributions beyond the leading order: spacelike vs. timelike. J. High Energ. Phys. 2020, 161 (2020). https://doi.org/10.1007/JHEP07(2020)161
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DOI: https://doi.org/10.1007/JHEP07(2020)161