Higgs revised in Supersymmetric Economical 3-3-1 model with B/\mu-type terms

TL;DR

This paper analyzes the Higgs sector of the supersymmetric economical 3-3-1 model with B/μ-type terms, revealing mass properties, similarities to MSSM Higgses, and potential collider signatures of lepton flavor violation.

Contribution

It demonstrates that the model's Higgs masses are tied to the SU(3)_L scale and identifies properties of Higgses similar to those in MSSM, including a key mass relation.

Findings

No massless Higgs fields in the model.

Higgs masses are near the SU(3)_L scale, except one light Higgs.

A key MSSM relation m^2_{H^{+/-}}=m^2_A+m^2_W holds.

Abstract

We re-investigate the scalar potential and the Higgs sector of the supersymmetric economical 3-3-1 model (SUSYE331) in the presence of the B/\mu type terms which has many important consequences. First, the model contains no massless Higgs fields. Second, we prove that the soft mass parameters of Higgses must be at the SU(3)_L scale. As a result, the masses of the Higgses drift toward this scale except one light real neutral Higgs with the mass of m_Z|cos(2\gamma)| at the tree level. We also show that there are some Higgses containing many properties of the Higgses in the minimal supersymmetric standard model (MSSM), especially in the neutral Higgs sector. One exact relation in the MSSM, m^2_H^{+/-}=m^2_A+m^2_W, is still true in the SUSYE331. Based on this result we make some comments on the lepton flavor violating decays of these Higgses as one of signatures of new physics in the SUSYE331 model which may be detected by present colliders.