Investigating Boson Sector in an Extended Standard Model with $U(1)_D$ Symmetry

TL;DR

This paper explores an extended Standard Model with an extra $U(1)_D$ symmetry, analyzing the scalar and gauge boson masses, vacuum stability, and parameter space through numerical methods.

Contribution

It introduces a model with additional singlet and doublet scalars coupled to gauge fields, and provides detailed mass calculations and parameter space analysis.

Findings

Scalar and gauge boson masses derived from symmetry breaking.

Vacuum positivity conditions numerically studied.

Scalar mass dependence on model parameters analyzed.

Abstract

We have investigated the boson sector in an extended standard model (SM) with additional $U(1)_D$ symmetry. In the proposed model, the singlet scalar and doublet scalar Higgs are added in addition to the SM-like scalar Higgs. These scalars are also coupled to the gauge boson fields. In this work, we calculate the masses of both gauge and scalar Higgs bosons. Their masses are obtained through spontaneous symmetry breaking using the Higgs fields with non-zero vacuum expectation values. We also study numerically the positivity conditions of the vacuum expectation value of the scalars. In particular, we perform scanning of the parameter space of the potential and study the obtained scalar mass dependence on the parameter of the model.