Supersymmetric one-family model without Higgsinos

Abstract

The Higgs potential and the mass spectrum of the N = 1 supersymmetric extension of a recently proposed one family model based on the local gauge group SU (3)C ⊗ SU (3)L ⊗ U (1)X , which is a subgroup of the electroweak-strong unification group E6, is analyzed. In this model the slepton multiplets play the role of the Higgs scalars and no Higgsinos are needed, with the consequence that the sneutrino, the selectron and six other sleptons play the role of the Goldstone bosons. We show how the µ problem is successfully addressed in the context of this model which also predicts the existence of a light CP-odd scalar.

Hierarchical radiative masses in a supersymmetric three-family model without higgsinos

“…So, contrary to the model in Ref. [9], this model has a µ-term coming from the existence of the vectorlike structureL 4L ⊕L 5L .…”

“…However, in a non supersymmetric model as the one presented in the former section, in which the Higgs fields transform as some of the lepton fields under the symmetry group, the SUSY extension can be constructed with the scalar and the lepton fields acting as superpartners of each other, ending up with a SUSY model without Higgsinos [9], which is automatically free of chiral anomalies.…”

“…By using experimental results from the CERN LEP, SLAC Linear Collider and atomic parity violation data, bounds on the mass scale V of the new gauge bosons and on the mixing angle θ have been calculated in Refs. [9,12,15]. Generically, V ≥ 1 TeV and θ ≤ 10 −3 .…”

“…[9], in which the left-handed lepton triplets and the Higgs scalars needed to break the symmetry down to SU (3) c ⊗ U (1) Q , have the same quantum numbers under the gauge group, and may play the role of the superpartners of each other. As a result, in the one-family model several consequences follow [9]: first, the reduction of the number of free parameters as compared to supersymmetric versions of other 3-3-1 models in the literature [10]; second, the result that the sneutrino, selectron and six other sleptons do not acquire masses in the context of the model constructed playing the role of the Goldstone bosons; third, the absence of the µ-problem, in the sense that the µ-term is absent at the tree level, arising only as a result of the symmetry break-ing, and fourth, the existence of light CP-odd scalars which may have escaped experimental detection.…”

Supersymmetric reduced minimal 3-3-1 model

“…Some others interesting supersymmetric extensions of the 3-3-1 models were presented in Ref. [31,32,33,34,35].…”