RI'/SMOM scheme amplitudes for quark currents at two loops
High Energy Physics - Phenomenology
2011-03-14 v1 High Energy Physics - Lattice
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.
Cite
@article{arxiv.1101.5266,
title = {RI'/SMOM scheme amplitudes for quark currents at two loops},
author = {J. A. Gracey},
journal= {arXiv preprint arXiv:1101.5266},
year = {2011}
}
Comments
36 latex pages, 1 figure, 21 tables, anc directory contains txt file with data in tables