We calculate the three loop gauge β-function for an abelian N=1 supersymmetric gauge theory, using DRED. We construct a coupling constant redefinition that relates the result to the corresponding term in the NSVZ β-function, and by generalising this redefinition to the non-abelian case we derive the DRED three loop gauge β-function for the non-abelian case.
@article{arxiv.hep-ph/9606323,
title = {$N=1$ supersymmetry and the three loop gauge beta function},
author = {I. Jack and D. R. T. Jones and C. G. North},
journal= {arXiv preprint arXiv:hep-ph/9606323},
year = {2009}
}
Comments
6 pages. Uses Harvmac. Minor referencing error and typos corrected