Abstract
We propose a supersymmetric extension of the anomaly-free and three families nonuniversal $U(1)$ model, with the inclusion of four Higgs doublets and four Higgs singlets. The quark sector is extended by adding three exotic quark singlets, while the lepton sector includes two exotic charged lepton singlets, three right-handed neutrinos and three sterile Majorana neutrinos to obtain the fermionic mass spectrum. By implementing an additional $\mathbb{Z}_2$ symmetry, the Yukawa coupling terms are suited in such a way that the fermion mass hierarchy is obtained without fine-tuning. The effective mass matrix for SM neutrinos is fitted to current neutrino oscillation data to check the consistency of the model with experimental evidence, obtaining that the normal-ordering scheme is preferred over the inverse ones. The electron and up, down and strange quarks are massless at tree level, but they get masses through radiative correction at one loop level coming from the sleptons and Higgsinos contributions. We show that the model predicts a like-Higgs SM mass at electroweak scale by using the VEV according to the symmetry breaking and fermion masses.
Highlights
Regardless the success of the Standard Model of electroweak interactions (SM) [1] in explaining the experimental data, it is considered an incomplete model since some features remain satisfactorily unexplained
When considering the minimal supersymmetric Standard Model (MSSM) superpotential, there exists a masslike parameter for the bilinear superfields coupling called μ, which is responsible of the Higgs and Higgsino masses
The superpotential presented in the Eq (60) generates the same mass matrix structure as well for the neutral and charged leptons when the vacuum expectation value (VEV) is taken by the fields, compared to the nonSUSY model
Summary
Regardless the success of the Standard Model of electroweak interactions (SM) [1] in explaining the experimental data, it is considered an incomplete model since some features remain satisfactorily unexplained. When considering the minimal supersymmetric Standard Model (MSSM) superpotential, there exists a masslike parameter for the bilinear superfields coupling called μ, which is responsible of the Higgs and Higgsino masses This parameter is expected to be at the order of SUSY breaking scale to provide Higgsino masses. From the LHC it is known the upper bound for the tch vertex [10] which can be explained, as new physics at tree level, from a model with multiple Higgs doublets For this reason a SUSY theory with FNCN is still phenomenological relevant. The nonsupersymmetric model can explain the fermion mass hierarchy, as well as mixing angles for the Cabibbo-Kobayashi-Maskawa [12] and Pontecorvo-Maki-Nakagawa-Sakata matrices [13] just by using two Higgs doublets and a scalar singlet field which breaks the Uð1ÞX symmetry giving masses to exotic particles. We consider the SUSY contributions to the selfenergies in order to generate the masses at one loop level
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