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Three loop renormalization of 3-quark operators in QCD
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We compute the three loop MSbar anomalous dimension for the 3-quark operator corresponding to the proton. This requires the treatment of gamma^5 within dimensional regularization as well as evanescent operators generated through the renormalization. We extend the Larin scheme for gamma^5 to a mixing matrix of finite renormalization constants chosen so that chiral symmetry is manifest in four dimensions. We also provide the finite part of the Green's function at two loops where the operator is inserted at zero momentum in a quark 3-point function in an arbitrary linear covariant gauge in order to assist with the lattice measurement of the same quantity. The renormalization of the generalized 3-quark operators in the scheme devised by Kraenkl and Manashov is extended to three loops and the anomalous dimensions for the (1/2,0), (3/2,0) and (1,1/2) spin operators with various chiralities are also given.
Forward citations
Cited by 4 Pith papers
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Renormalization of three-quark operators with up to two derivatives at three loops
Three-loop renormalization constants and anomalous dimensions are derived analytically for three-quark operators with derivatives in QCD, confirming prior N=0 results and enabling lattice matching.
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Proton decay matrix elements on PACS configurations
A preliminary lattice QCD calculation of twelve proton decay matrix elements at the physical pion mass with Wilson-clover fermions, using updated RI renormalization, agrees mostly with the RBC continuum results.
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Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD
Updated baryon light-cone distribution amplitude moments are presented using two-loop conversion factors and new low-energy constants; the two-loop anomalous dimensions for one-derivative three-quark operators are com...
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RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators
A review of high-order RI'/SMOM-to-MS matching factors for lattice QCD bilinear and three-quark operators, including unpublished N=1 results.
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