Two-loop renormalization of three-quark operators in QCD

Abstract

Renormalization of composite three-quark operators in dimensional regularization is complicated by the mixing of physical and unphysical (evanescent) operators. This mixing must be taken into account in a consistent subtraction scheme. In this work we propose a particular scheme that allows one to avoid the necessity of additional finite renormalization and is convenient in QCD applications. As an illustration, we calculate the two-loop anomalous dimensions of local three-quark operators in this scheme.

6 pages, 1 figure; published version, typos corrected

References in corpus (6)

• Nucleon Form Factors in QCD
• Electroproduction of the N*(1535) resonance at large momentum transfer
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Nucleon Form Factors to Next-to-Leading Order with Light-Cone Sum Rules
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Calculating loops without loop calculations: NLO computation of pentaquark correlators

Cited by in corpus (18)

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• Perturbative Renormalization of Neutron-Antineutron Operators
• Light-cone distribution amplitudes of the baryon octet
• Anomalous dimensions of potential top-partners
• Three loop renormalization of 3-quark operators in QCD
• Scheme-Independent Calculations of Anomalous Dimensions of Baryon Operators in Conformal Field Theories
• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• Safe Glueballs and Baryons
• Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD
• Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme
• Weak radiative decay ${\Lambda }_c^{+}\to {\Sigma }^{+}\gamma$ using light-cone sum rules
• The anomalous dimension of spin-1/2 baryons in many flavors QCD
• A description of charmonia decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework
• Light-cone sum rule approach for Baryon form factors