SM vacuum stability and the Weyl consistency conditions: Counting to three
Abstract
We demonstrate how a new perturbative ordering may result from the structure of the Weyl anomaly. Respecting the abelian nature of the Weyl anomaly at the lowest order enforces the use of beta functions calculated to a different loop order for different types of couplings. These consistency conditions are found to be satisfied by the renormalization group equations of the standard model, and we perform an analysis of the vacuum stability of the Higgs potential respecting the consistency conditions and compare to the previous results. Hints toward unknown structure in the standard model renormalization group equations are found, although the vacuum stability results are in agreement with previous estimates.
Keywords
Cite
@article{arxiv.1507.07380,
title = {SM vacuum stability and the Weyl consistency conditions: Counting to three},
author = {Jens Krog},
journal= {arXiv preprint arXiv:1507.07380},
year = {2015}
}
Comments
8 pages, 3 figures. Talk given at the Summer School and Workshop on the Standard Model and Beyond 2013; to appear in the Proceedings of the Corfu Summer Institute 2014 "School and Workshops on Elementary Particle Physics and Gravity" Proceedings of the Corfu Summer Institute 2014