Abstract
In the framework of supersymmetry, when R-parity is violated the Higgs doublet superfield Hd can be interpreted as another doublet of leptons, since all of them have the same quantum numbers. Thus Higgs scalars are sleptons and Higgsinos are leptons. We argue that this interpretation can be extended to the second Higgs doublet superfield Hu, when right-handed neutrinos are assumed to exist. As a consequence, we advocate that this is the minimal construction where the two Higgs doublets can be interpreted in a natural way as a fourth family of lepton superfields, and that this is more satisfactory than the usual situation in supersymmetry where the Higgses are ‘disconnected’ from the rest of the matter and do not have a three-fold replication. On the other hand, in analogy with the first three families where for each lepton representation there is a quark counterpart, we propose a possible extension of this minimal model including a vector-like quark doublet representation as part of the fourth family. We also discuss the phenomenology of the associated new quarks.
Highlights
The Higgs particle in the framework of the standard model is intriguing, being the only elementary scalar in the spectrum, and introducing the hierarchy problem in the theory
In the framework of supersymmetry, the presence of the Higgs is more natural: scalar particles exist by construction, the hierarchy problem can be solved, and the models predict that the Higgs mass must be 140 GeV if perturbativity of the relevant couplings up to high-energy scales is imposed
In supersymmetry the existence of at least two Higgs doublets, Hd and Hu, is necessary, as in the case of the minimal supersymmetric standard model (MSSM) [1], and as a consequence new neutral and charged scalar particles should be detected in the future to confirm the theory
Summary
The Higgs particle in the framework of the standard model is intriguing, being the only elementary scalar in the spectrum, and introducing the hierarchy problem in the theory. In the framework of supersymmetry, the presence of the Higgs is more natural: scalar particles exist by construction, the hierarchy problem can be solved, and the models predict that the Higgs mass must be 140 GeV if perturbativity of the relevant couplings up to high-energy scales is imposed. In a sense, the latter has been confirmed by the detection of a scalar particle with a mass of about 125 GeV. Higgs scalars are sleptons and Higgsinos are leptons This can be done only when R-parity (R p ) is violated, since the standard model particles and their superpartners have opposite R p quantum numbers.
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