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We investigate Lepton-Flavor Violating (LFV) decays of Higgs to muon-tau in the Supersymmetric Economical 3-3-1 (SUSYE331) model. In the presence of flavor mixing in sleptons {μ,τ } and large values of v/v ′ , the ratio of, as in many known SUSY models. We predict that for the Standard Model Higgs boson, the LHC may detect its decay to muon and tauon. We also investigate the asymmetry between left and right LFV values of corrections and prove that the LFV effects are dominated by the left FLV term, which is O(10 3 ) times larger than the right LFV term in the limit of small values of |µ ρ |/m SU SY . The contributions of Higgs-mediated effects to the decay τ → µµµ are also discussed.

The one loop contribution to the lepton flavor violating decay h 0 → µτ of the SM-like neutral Higgs (LFVHD) in the 3-3-1 model with neutral lepton is calculated using the unitary gauge. We have checked in detail that the total contribution is exactly finite, and the divergent cancellations happen separately in two parts of active neutrinos and exotic heavy leptons. By numerical investigation, we have indicated that the one-loop contribution of the active neutrinos is very suppressed while that of exotic leptons is rather large. The branching ratio of the LFVHD strongly depends on the Yukawa couplings between exotic leptons and SU (3) L Higgs triplets. This ratio can reach 10 −5 providing large Yukawa couplings and constructive correlations of the SU (3) L scale (v 3 ) and the charged Higgs masses. The branching ratio decreases rapidly with the small Yukawa couplings and large v 3 .

A simple extension of the Standard Model (SM), based on the gauge group $SU(3)_C\otimes SU(3)_L\otimes U(1)_Y$ with $Y$ being the hypercharge, is considered. We show that, by imposing an approximate global $SU(2)_L\times SU(2)_R$ custodial symmetry at the SM energy scale, the $Z-Z'$ mixing is absent at tree level and the value of the $\rho$ parameter can be kept close to one. Tree-level flavor-changing neutral currents are also reduced to three particles, namely $Z'$, a CP-odd Higgs and a CP-even Higgs. The model predicts new leptons with electric charges of $\pm 1/2e$ and new quarks with $\pm 1/6e$ charges as well as new gauge and scalar bosons with $\pm 1/2e$ charges. Electric charge conservation requires that one of them must be stable. Their masses are unfortunately free parameters.Comment: 14 pages. matches published versio

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.