The three-loop Adler $D$-function for ${\cal N}=1$ SQCD with various renormalization prescriptions
High Energy Physics - Theory
2020-01-13 v1 High Energy Physics - Phenomenology
Abstract
The three-loop Adler -function for SQCD in the scheme is calculated. It appears that the result does not satisfy NSVZ-like equation which relates the -function to the anomalous dimension of the matter superfields. However this NSVZ-like equation can be restored by a special tuning of the renormalization scheme. Also we demonstrate that the -function defined in terms of the bare coupling does not satisfy the NSVZ-like equation in the case of using the regularization by dimensional reduction. The scheme-dependence of the -function written in the form of the -expansion is briefly discussed.
Cite
@article{arxiv.2001.03097,
title = {The three-loop Adler $D$-function for ${\cal N}=1$ SQCD with various renormalization prescriptions},
author = {S. S. Aleshin and A. L. Kataev and K. V. Stepanyantz},
journal= {arXiv preprint arXiv:2001.03097},
year = {2020}
}
Comments
4 pages, submitted to the Proceedings of 19th Lomonosov Conference on Elementary Particle Physics (Moscow State University, August 22-28, 2019)