On the terms violating the custodial symmetry in multi-Higgs-doublet models
High Energy Physics - Phenomenology
2013-04-23 v3 High Energy Physics - Theory
Abstract
We prove that a generic multi-Higgs-doublet model (NHDM) generally must contain terms in the potential that violate the custodial symmetry. This is done by showing that the O(4) violating terms of the NHDM potential cannot be excluded by imposing a symmetry on the NHDM Lagrangian. Hence we expect higher-order corrections to necessarily introduce such terms. We also note, in the case of custodially symmetric Higgs-quark couplings, that vacuum alignment will lead to up-down mass degeneration; this is not true if the vacua are not aligned.
Keywords
Cite
@article{arxiv.1207.5194,
title = {On the terms violating the custodial symmetry in multi-Higgs-doublet models},
author = {M. Aa. Solberg},
journal= {arXiv preprint arXiv:1207.5194},
year = {2013}
}
Comments
16 pages, 1 figure. Title and abstract are modified, conclusions remain the same. Section on Yukawa couplings is extended. Published version