# SUSY 2015, 23rd International Conference on Supersymmetry and Unification of Fundamental Interactions

23-29 August 2015
Lake Tahoe
US/Pacific timezone

## Trilinear Higgs self-couplings in $S(3)$SM

25 Aug 2015, 17:50
20m
Lake ()

### Lake

Higgs Theory and Experiment

### Speaker

Dr Ezequiel Rodriguez Jauregui (Universidad de Sonora)

### Description

In this work, the analysis of the Higgs sector in the context of the minimal $S(3)$-invariant extension of the Standard Model ($S(3)$SM) is performed. Three Higgs fields, which are SU(2) doublets, and CP invariant, are considered to compute the exact and analytical physical Higgs boson masses. Furthermore, within this model an explicit form of the trilinear self-couplings $\lambda_{ijk}$ are obtained, in terms of the Higgs masses and two free parameters, $\theta_S$ and $w_3$. Hence, one can see that the Higgs masses and trilinear Higgs bosons self-couplings are closely linked to the Higgs potential structure given by the discrete symmetry $S(3)$, which can be helpful to distinguish this model from other extensions. In the analysis, the lightest Higgs boson mass is taken to be fixed to 125 GeV. Finally, one find that the numerical values $\lambda_{ijk}$ of $S(3)$SM are significantly different from the trilinear Higgs self-coupling of the Standard Model.

### Co-authors

Dr Ezequiel Rodriguez Jauregui (Universidad de Sonora) Dr J. Enrique Barradas Guevara (Benemerita Universidad Autonoma de Puebla)