Phenomenology of an $E_6$ inspired extension of Standard Model: Higgs sector

TL;DR

This paper explores an $E_6$ inspired extension of the Standard Model with an extended gauge group, analyzing its Higgs sector, gauge bosons, scalar spectrum, and potential signals at the LHC, including dark matter candidates.

Contribution

It introduces a novel $E_6$ inspired Left-Right symmetric model with detailed phenomenological analysis of its Higgs sector and collider signatures.

Findings

Constraints on heavy gauge boson masses from LHC data

Predictions of scalar production cross-sections at 14 and 27 TeV LHC runs

Identification of potential dark matter candidates within the model

Abstract

We investigate a variant of Left-Right symmetric model based on $E_6$ inspired $SU(3)_C \otimes SU(2)_L \otimes U(1)_L \otimes SU(2)_R \otimes U(1)_R$ gauge group $(32121)$. Spontaneous breaking of $32121$ down to the Standard Model (SM) gauge group, requires a bi-doublet under $SU(2)_L \otimes SU(2)_R$, a right-handed doublet scalar under $SU(2)_R$ along with a $SU(2)$ singlet scalar boson. Symmetry breaking leads to several neutral and charged massive gauge bosons apart from the SM $W$ and $Z$. The Large Hadron Collider (LHC) results for the search of heavy gauge bosons can be used to constrain the vacuum expectation values responsible for giving masses to these extra heavy gauge bosons. Physical spectrum of the scalar bosons contains several neutral CP-even and CP-odd states and a couple of charged scalars apart from the SM-like Higgs boson. We have put constraints on the masses of some of these scalars from the existing LHC data. The possible decay rates and production cross-sections of these scalars have been investigated in some details. Production cross-sections for some of the scalars look promising at 14 TeV and 27 TeV run of the LHC with high luminosity option. As the model stems from Grand Unified group $E_6$, we keep all the fermions present in the $27$-dimensional fundamental representation of $E_6$. Mass limit of one such exotic lepton has also been derived from present LHC data. It is noted that some of these neutral exotic lepton or neutral scalar bosons of this model can serve the purpose of a cold dark matter.