Neutrino and CP-even Higgs boson masses in a nonuniversal $\mathrm{U}(1)'$ extension

TL;DR

This paper introduces a new anomaly-free, family nonuniversal U(1)' extension of the Standard Model, incorporating additional scalars and fermions, and provides analytical and numerical insights into neutrino and Higgs boson masses.

Contribution

It presents a novel nonuniversal U(1)' model with extended fermion and scalar sectors, deriving analytical relations for neutrino and Higgs masses using a seesaw-like approach.

Findings

Analytical relations for PMNS matrix elements derived.

Numerical predictions for neutrino masses in normal and inverse hierarchy.

Mass eigenstates of the CP-even scalar sector obtained analytically.

Abstract

We propose a new anomaly-free and family nonuniversal $\mathrm{U}(1)'$ extension of the standard model with the addition of two scalar singlets and a new scalar doublet. 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 leptons to obtain the fermionic mass spectrum of the standard model. The lepton sector also reproduces the elements of the PMNS matrix and the squared-mass differences data from neutrino oscillation experiments. Also, analytical relations of the PMNS matrix are derived via the inverse see-saw mechanism, and numerical predictions of the parameters in both normal and inverse order scheme for the mass of the phenomenological neutrinos are obtained. We employed a simple seesaw-like method to obtain analytical mass eigenstates of the CP-even $3\times 3$ mass matrix of the scalar sector.