Abstract
We examine an extension of the SM Higgs sector by a Higgs triplet taking into consideration the discovery of a Higgs-like particle at the LHC with mass around 125 GeV. We evaluate the bounds on the scalar potential through the unitarity of the scattering matrix. Considering the cases with and without mathbb {Z}_2-symmetry of the extra triplet, we derive constraints on the parameter space. We identify the region of the parameter space that corresponds to the stability and metastability of the electroweak vacuum. We also show that at large field values the scalar potential of this model is suitable to explain inflation.
Highlights
The revelation of the Higgs boson [1,2,3] in 2012 at the Large Hadron Collider (LHC) confirmed the existence of all the Standard Model (SM) particles and showed the Higgs mechanism to be responsible for electroweak symmetry breaking (EW√SB)
The experimental data of the Higgs signal strengths and the uncertainties in the measurement of other standard model parameters still allow for an extended scalar sector
We have assumed that the extra neutral C P-even component of the scalar triplet has participated in the EWSB
Summary
The revelation of the Higgs boson [1,2,3] in 2012 at the Large Hadron Collider (LHC) confirmed the existence of all the Standard Model (SM) particles and showed the Higgs mechanism to be responsible for electroweak symmetry breaking (EW√SB). This model is termed the hyperchargeless Higgs triplet model, HTM (Y = 0) [20] We consider both the neutral C P-even component of the SM doublet and the extra scalar triplet take part in the EWSB. 3. Considering the lightest Z2-odd neutral particle as a viable DM, we analyze the scalar potential up to the Planck mass and identify regions of parameter space corresponding to the stable and metastable EW vacuum in Sect. The scalar potential is such that both the neutral C P-even component of the SM doublet and the extra scalar triplet receive vacuum expectation values (VEVs) and take part in the EWSB. The spontaneous EWSB generates masses for the W and Z bosons, : MW2
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