Abstract

We investigate a supersymmetric extension of the Minimal Supersymmetric Standard Model (MSSM), called the TNMSSM, containing a SU(2) Higgs triplet $$ \left(\widehat{T}\right) $$ of Y = 0 hypercharge and a singlet superfields (Ŝ) in the corresponding superpotential. The model can be viewed, equivalently, as an extension of the NMSSM with the addition of a $$ \widehat{T}-\widehat{S} $$ interaction and of an extra coupling of the triplet to the two Higgs doublets of the NMSSM. In this scenario the Higgs particle spectrum at tree-level gets additional mass contributions from the triplet and singlet scalar components respect to the MSSM, which are particularly enhanced at low tan β. We calculate the one-loop Higgs masses for the neutral physical Higgs bosons by a Coleman-Weinberg effective potential approach. In particular, we investigate separately the impact of the radiative corrections due to the electroweak, gauge-gaugino-higgsino, fermion-sfermion and Higgs self-interactions to the Higgs masses. Due to the larger number of scalars and of triplet and singlet couplings, the Higgs corrections can be larger than the strong corrections. This reduces the amount of fine-tuning required to fit the recent Higgs data. Using the expressions of the beta-functions of the model, we show that the large triplet singlet coupling remains perturbative up to ∼ 108−10 GeV. The model is also characterized by a light pseudoscalar in the spectrum, which is a linear combination of the triplet, doublet and singlet CP-odd components. We discuss the production and decay signatures of the Higgs bosons in this model, including scenarios with hidden Higgses, which could be investigated at the LHC in the current run.

Highlights

  • For the W W ∗ decay rate, which has been recorded with a 4.7σ accuracy by CMS [4, 5]

  • We investigate a supersymmetric extension of the Minimal Supersymmetric Standard Model (MSSM), called the TNMSSM, containing a SU(2) Higgs triplet (T) of Y = 0 hypercharge and a singlet superfields (S) in the corresponding superpotential

  • In this paper we have considered a scenario with an extended Higgs sector characterized by a Y = 0 hypercharge SU(2) triplet and a gauge singlet superfields, along with the remaining MSSM superfields

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Summary

The model

The MSSM Higgs doublets couple to the fermion multiplet via Yukawa coupling as in eq (2.1), while the singlet and the triplet superfields generate the supersymmetric μD term after their neutral parts acquire vevs, as shown in eq (2.2). In any scale invariant supersymmetric theory with a cubic superpotential, the complete Lagrangian with the soft SUSY breaking terms has an accidental Z3 symmetry, the invariance after the multiplication of all the components of the chiral superfield by the phase e2πi/3.

Tree-level Higgs masses
Strong and weak sectors
Higgs masses at one-loop
Hidden Higgs bosons
Fine-tuning
A light pseudoscalar in the spectrum
10 Phenomenology of the TNMSSM
10.1 Productions
10.2 Decays
10.3 Possible signatures
11 Discussions and conclusions
A RG equations
Findings
B Higgs vertices

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