Supersymmetric reduced minimal 3-3-1 model

Abstract

We build a supersymmetric version of the minimal 3-3-1 model with just two Higgs triplets using the superfield formalism. We study the mass spectrum of all particles in concordance with the experimental bounds. At the tree level, the masses of charged gauge bosons are the same as those of charged Higgs bosons. We also show that the electron, muon and their neutrinos as well as down and strange quarks gain mass through the loop correction. The narrow constraint on the ratio t w = w w ′ is given by studying the new invisible decay mode of the Z boson.

A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern

“…Thinking of a supersymmetric (SUSY) version of our model (for some examples of SUSY 3-3-1 models see refs. [121,131,[155][156][157][158][159][160][161][162][163][164][165][166][167][168][169][170]) we hope that even in the case of softly-broken SUSY the tadpole cancelation would be technically natural. More conservatively we may expect a violation of this cancelation not stronger than logarithms of the high-scale cutoff.…”

“…To provide an explanation for the observed pattern of SM fermion masses and mixings, various 3-3-1 models with flavor symmetries [33][34][35][36][37][38][39][40][41][42][43][44][45][120][121][122][123] and radiative seesaw mechanisms [80,120,[124][125][126][127][128][129][130][131][132][133] have been proposed in the literature. However, some of them involve non renormalizable interactions [39,40,42,43,45], others are renormalizable but do not address the observed pattern of fermion masses and mixings due to the unexplained huge hierarchy among the Yukawa couplings [33, 35-38, 122, 123, 134] and others are only focused either in the quark mass hierarchy [34,128,130], or in the study of the neutrino sector [120, 124-127, 129, 132, 133, 135, 136], or only include the description of SM fermion mass hierarchy, without addressing the mixings in the fermion sector [131]. It is interesting…”

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].…”

Higgs revised in supersymmetric economical 3-3-1 model with $$B/\mu $$ B / μ -type terms

“…But some fermions in these models get zero masses at the tree level and they need to get non-vanishing masses from loop corrections [29,30] or effective non-renomalizable operators [31]. To solve this problem as well as the problem of dark matter in these models, some supersymmetric versions of these 3-3-1 models were introduced [33][34][35][36][37]. These models, of course, keep the interesting properties of the 3-3-1 as well as SUSY models.…”

“…The Higgs sectors are now much more complicated. Anyway, they were investigated in detail for the supersymmetric economical 3-3-1 (SUSYE331) model [33,38] and the supersymmetric reduced minimal 3-3-1 (SUSYRM331) model [36,37]. In this work we will concentrate on the SUSYE331 Higgs sector for two important reasons:…”