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

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

2011-01-27

arxiv.org/abs/1101.5266v1

Eur.Phys.J.C71:1567,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1140/epjc/s10052-011-1567-8

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.

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