Abstract
We consider theories with a large number of charged fermions and compute the renormalization 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.
- Received 7 December 2017
- Revised 27 February 2018
DOI:https://doi.org/10.1103/PhysRevD.97.095013
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society