Abstract
We analyse the Higgs sector of an S_3 model with three Higgs doublets and no CP violation. After electroweak breaking there are nine physical Higgs bosons, one of which corresponds to the Standard Model one. We study the scalar and gauge sectors of this model, taking into account the conditions set by the minimisation and stability of the potential. We calculate the masses, trilinear and quartic Higgs-Higgs, and Higgs-gauge couplings. We consider two possible alignment scenarios, where only one of the three neutral scalars has couplings to the gauge bosons and corresponds to the SM Higgs, and whose trilinear and quartic couplings reduce exactly to the SM ones. We also obtain numerically the allowed parameter space for the scalar masses in each of the alignment scenarios. We use the calculated trilinear and quartic couplings to find the analytical structure of the one-loop neutral scalar mass matrix, without fermionic contributions. We show that it is possible to have a compact mass spectrum where the contribution to the oblique parameters might be small. We explore some scenarios for the loop contributions to the neutral scalar masses.
Highlights
The discovery the Higgs boson with a mass of 125 GeV [1,2], and the experimental study of its properties, will be relevant to gain a deeper understanding of the flavour problem and of ways to address it.The organization of the fermions into generations or families may signal a possible underlying structure in elementaryDedicated to the memory of Prof
We find the expression for the neutral scalar mass matrix at one-loop, where all the scalar and gauge contributions derived from the calculated trilinear and quartic couplings are taken into account
We show here the couplings of gauge bosons with the three neutral scalars, the rest of the couplings are given in Appendix A, in this expression we have not taken into account the combinatorial factor from two identical particles in the Lagrangian term
Summary
Discrete symmetries have been extensively studied in this context, both at low and at high energies (for reviews of models with discrete symmetries see [18,19,20,21]) Since these models in general require the addition of more Higgs fields, the phenomenological consequences in all sectors, like allowed extra processes and couplings, have to be analysed, some examples can be found in [22,23,24]. The conditions for stability and symmetry breaking in the general three Higgs doublet model (3HDM) have been studied in [79]. It reduces to a structure similar to the 2HDM mass matrix, due to the residual Z2 symmetry, the presence of an extra neutral scalar in our case, h0, allows to distinguish between the models. We present a summary and the conclusions of our work
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