The Crewther relation, schemes, gauges and fixed points
High Energy Physics - Phenomenology
2023-08-04 v2
Abstract
We investigate the Crewther relation at high loop order in a variety of renormalization schemes and gauges. By examining the properties of the relation in schemes other than modified minimal subtraction (MSbar) at the fixed points of Quantum Chromodynamics we propose a generalization of the Crewther relation that extends the MSbar construction of Broadhurst and Kataev. A derivation based on the properties of the renormalization group equation is provided for the generalization which is tested in various scenarios.
Cite
@article{arxiv.2306.11416,
title = {The Crewther relation, schemes, gauges and fixed points},
author = {J. A. Gracey and R. H. Mason},
journal= {arXiv preprint arXiv:2306.11416},
year = {2023}
}
Comments
51 latex pages, 10 tables, anc directory contains additional tables and a txt file with the electronic version of results for a general colour group, minor text changes and additional references