Vacuum Structure of Alternative Left-Right Model

Abstract

We investigate an Alternative Left-Right Model (ALRM) with SU (2) L as well as SU (2) R gauge groups, but unlike the traditional left-right symmetric models (LRSM) is not symmetric under the exchange of the fermion content. Interestingly, it can be embedded in E 6 , while its low energy Higgs structure resembles the LRSM, involving Higgs doublets χ L,R and one Higgs bidoublet Φ. We analyze the scalar potential and the vacuum structure of the theory analytically to ensure the stability of scalar potential via bounded from below (BFB) and copositivity criteria, accompanied by a numerical study. We establish the necessary criteria for electric charge-preserving vacua, yielding constraints on various coupling parameters of the theory. Finally we obtain constraints on the parameters of the model from collider data on the masses of the Higgs scalars.

Constraints on the Doublet Left-Right Symmetric Model from Higgs data

“…Criteria for boundedness from below of the DLRSM scalar potential has been studied in the literature utilising the copositivity criteria [17,18] and gauge orbit formulation [19,20].…”