Abstract
We investigate the phenomenology of an extension of the Standard Model (SM) by a non-Abelian gauge group $\mathrm{SU}(2{)}_{\mathrm{HS}}$ where all SM particles are singlets under this gauge group, and a new scalar representation $\ensuremath{\phi}$ that is singlet under SM gauge group and doublet under $\mathrm{SU}(2{)}_{\mathrm{HS}}$. In this model, the dark matter (DM) candidates are the three mass-degenerate dark photons ${A}_{i}$ ($i=1$, 2, 3) of $\mathrm{SU}(2{)}_{\mathrm{HS}}$, and the hidden sector interacts with the (SM) particles through the Higgs portal interactions. Consequently, there will be a new $CP$-even scalar $\ensuremath{\eta}$ that could be either heavier or lighter than the SM-like Higgs. By taking into account all theoretical and experimental constraints such as perturbativity, unitarity, vacuum stability, non-SM Higgs decays, DM direct detection, and $M$ relic density, we found viable DM is possible in the range from GeV to TeV. Within the viable parameters space, both of the triple Higgs coupling and the di-Higgs production at LHC14 could be enhanced or reduced depending on the scalar mixing and the mass of the scalar particle $\ensuremath{\eta}$.
Highlights
It is a fact that 27% of the matter in the universe is made out of cold dark matter
By taking into account all theoretical and experimental constraints such as perturbativity, unitarity, vacuum stability, non-Standard Model (SM) Higgs decays, dark matter (DM) direct detection, and M relic density, we found viable DM is possible in the range from GeV to TeV
We have considered an extension of the SM by enlarging the SM gauge symmetry by a non-Abelian gauge group SUð2ÞHS
Summary
It is a fact that 27% of the matter in the universe is made out of cold dark matter. Historically, its existence was proposed as a possible explanation for several astrophysical observations in the cluster of galaxies [1]. The author of [6] proposed a vector DM model based on a hidden gauge symmetry [SUð2ÞHS], where the DM interacts with the SM particles only via mixing between the SUð2ÞHS doublet and the Higgs doublet. We consider the model [6] where the spin-1 gauge bosons couple to the SM through the Higgs portal. Triple Higgs coupling and the diHiggs production turn out to be so important to shed light on new physics and to understand the electroweak symmetry breaking All these issues will be investigated in this work. 1 − 4 mm2h2η; ð16Þ and in the second case, the Higgs can decay into a pair of η if mh > 2mη, in addition to their possible decay to AiAi
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