Minimal 3-3-1 model with only two Higgs triplets

Abstract

The simplest non-abelian gauge extension of the electroweak standard model, the SU (3) c ⊗ SU (3) L ⊗ U (1) N , known as 3-3-1 model, has a minimal version which demands the least possible fermionic content to account for the whole established phenomenology for the well known particles and interactions. Nevertheless, in its original form the minimal 3-3-1 model was proposed with a set of three scalar triplets and one sextet in order to yield the spontaneous breaking of the gauge symmetry and generate the observed fermion masses. Such a huge scalar sector turns the task of clearly identifying the physical scalar spectrum a clumsy labor. It not only adds an obstacle for the development of its phenomenology but implies a scalar potential plagued with new free coupling constants. In this work we show that the framework of the minimal 3-3-1 model can be built with only two scalar triplets, but still triggering the desired pattern of spontaneous symmetry breaking and generating the correct fermion masses. We present the exact physical spectrum and also show all the interactions involving the scalars, obtaining a neat minimal 3-3-1 model far more suited for phenomenological studies at the current Large Hadron Collider. *

A call for new physics: The muon anomalous magnetic moment and lepton flavor violation

“…Due to the enlarged gauge symmetry, the fermionic generations are accommodated in the fundamental representation of SU (3) L , i.e triplets. Since the SM spectrum should be reproduced, the triplet must contain the SM doublet, but the arbitrariness of the third component leads to a multitude of models based on this gauge symmetry [206,229,230,[414][415][416][417][418][419][420][421][422][423][424][425][426][427][428][429][430][431][432].…”

3-3-1 model with inert scalar triplet

“…One way to keep the 3-3-1 models self-consistent (which avoids an extension) is that the lepton number should be belong to an approximate symmetry, and the 3-3-1 models must contain interactions that explicitly violate the lepton number. Looking into the other variants of the 3-3-1 models, we observe that the economical 3-3-1 model is a natural recognition of the above criteria, while the reduced 3-3-1 model [22] at renormalizable level is not. However, the reduced 3-3-1 model will be viable when the effective interactions responsible for fermion masses are included.…”

“…By our proposal, the model can similarly be modified to work as a reduced 3-3-1 model [22] while containing an inert scalar triplet responsible for dark matter. The dark matter candidate in such model is a scalar doublet under the standard model symmetry similarly to the inert doublet model either a scalar singlet similarly to our model given in the text.…”

“…Also, its results-the dark matter candidate and phenomenology as recognized are entirely different from that of the inert doublet model [21] as well as those in [7,17]. By the same way, the minimal 3-3-1 model can behave as a reduced 3-3-1 model [22] while containing an inert scalar triplet responsible for dark matter.…”

Supersymmetric reduced minimal 3-3-1 model

“…The attempt to realize simpler scalar sectors has recently been constructed 3-3-1 model with minimal Higgs sector called the economical 3-3-1 model [21,22]. The 3-3-1 model with minimal content of fermions and Higgs sector (called the reduced minimal (RM) 3-3-1 model) has also been constructed in [23].…”