Asymptotically Safe Standard Model Extensions?
High Energy Physics - Phenomenology
2018-05-23 v3 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
We consider theories with a large number of charged fermions and compute the renormalisation group equations for the gauge, Yukawa and quartic couplings resummed at leading order in . We construct extensions of the Standard Model where SU(2) and/or SU(3) are asymptotically safe. When the same procedure is applied to the Abelian U(1) factor, we find that the Higgs quartic can not be made asymptotically safe and stay perturbative at the same time.
Keywords
Cite
@article{arxiv.1708.00437,
title = {Asymptotically Safe Standard Model Extensions?},
author = {Giulio Maria Pelaggi and Alexis D. Plascencia and Alberto Salvio and Francesco Sannino and Juri Smirnov and Alessandro Strumia},
journal= {arXiv preprint arXiv:1708.00437},
year = {2018}
}
Comments
Revised computing of beta functions taking into account resummed contributions for the Yukawas and the scalar quartic coupling, version published in Phys.Rev.D