References & Citations
High Energy Physics - Phenomenology
Title: Renormalization of non-singlet quark operator matrix elements for off-forward hard scattering
(Submitted on 6 Jul 2021 (v1), last revised 13 Sep 2021 (this version, v2))
Abstract: We calculate non-singlet quark operator matrix elements of deep-inelastic scattering in the chiral limit including operators with total derivatives. This extends previous calculations with zero-momentum transfer through the operator vertex which provides the well-known anomalous dimensions for the evolution of parton distributions, as well as calculations in off-forward kinematics utilizing conformal symmetry. Non-vanishing momentum-flow through the operator vertex leads to mixing with total derivative operators under renormalization. In the limit of a large number of quark flavors $n_f$ and for low moments in full QCD, we determine the anomalous dimension matrix to fifth order in the perturbative expansion in the strong coupling $\alpha_s$ in the $\overline{\mbox{MS}}$-scheme. We exploit consistency relations for the anomalous dimension matrix which follow from the renormalization structure of the operators, combined with a direct calculation of the relevant diagrams up to fourth order.
Submission history
From: Sam Van Thurenhout [view email][v1] Tue, 6 Jul 2021 08:30:56 GMT (38kb,D)
[v2] Mon, 13 Sep 2021 09:33:14 GMT (44kb,D)
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