RI'/SMOM scheme amplitudes for quark currents at two loops

Abstract

We determine the two loop corrections to the Green's function of a quark current inserted in a quark 2-point function at the symmetric subtraction point. The amplitudes for the scalar, vector and tensor currents are presented in both the MSbar and RI'/SMOM renormalization schemes. The RI'/SMOM scheme two loop renormalization for the scalar and tensor cases agree with previous work. The vector current renormalization requires special treatment as it must be consistent with the Slavnov-Taylor identity which we demonstrate. We also discuss the possibility of an alternative definition of the RI'/SMOM scheme in the case of the tensor current.

36 latex pages, 1 figure, 21 tables, anc directory contains txt file with data in tables

References in corpus (4)

• Algorithm FIRE -- Feynman Integral REduction
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes

Cited by in corpus (3)

• Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme