Compatible abelian symmetries in N-Higgs-Doublet Models
Abstract
We analyze the compatibility between abelian symmetries acting in two different sectors of a theory using the Smith Normal Form method. We focus on N-Higgs-doublet models (NHDMs) and on the compatibility between symmetries in the Higgs potential and in the Yukawa interactions, which were separately analyzed previous works. It is shown that two equal (isomorphic) symmetry groups that act in two separate sectors are not necessarily compatible in the whole theory and an upper bound is found for the size of the group that can be implemented in the entire NHDM. We also develop useful techniques to analyze compatibility and extend a symmetry from one sector to another. Consequences to the supersymmetric case are briefly discussed.
Keywords
Cite
@article{arxiv.1411.4909,
title = {Compatible abelian symmetries in N-Higgs-Doublet Models},
author = {C. C. Nishi},
journal= {arXiv preprint arXiv:1411.4909},
year = {2015}
}
Comments
v2: 40pp; some modifications in text, brief discussion on the supersymmetric case added; to appear in JHEP