Decays of CP-even Higgs bosons $H\to l_i{l}_j$ in a 3-3-1 model with neutral leptons

Abstract

The 3-3-1 model with neutral leptons contains four CP-even Higgs bosons when some constraints are imposed on the Higgs potential. Two Higgs bosons of this type are identified with the corresponding ones in the Two-Higgs-Doublet model (2HDM), an other being more massive does not couple with similar particles contained in the Standard Model (SM). The remaining particle is assumed to have no lepton-flavor-violating couplings. The contributions at one-loop order to $\mathrm{\Gamma }(\mathrm{H}\to l_i{l}_j)$$(H\equiv h_1^0,h_2^0,h_3^0)$ come mainly from neutral leptons leading them to depend very strongly on mass of charged Higgs boson, masses and the mixing matrix ($V_{ab}^L$) of the neutral leptons. The numerical investigated results of $\mathrm{\Gamma }(\mathrm{H}\to l_i{l}_j)$ in the spatial regions satisfying the experimental limit of lepton-flavor-violating decays of charged leptons (cLFV) indicate that the signal of SM-like Higgs boson ($\mathrm{\Gamma }(h_1^0\to l_i{l}_j)$) approaches the upper bound of the experimental limit and $\mathrm{\Gamma }(\mathrm{H}\to l_i{l}_j)$ can take large values in the case of $V_{ab}^L=U_{ab}^L(\pi /4,\pi /4,-\pi /4)$ and smaller in the case of $V_{ab}^L=U_{ab}^L(\pi /4,0,0)$. Further, some distinct properties of $\mathrm{\Gamma }(h_2^0\to l_i{l}_j)$ and $\mathrm{\Gamma }(h_3^0\to l_i{l}_j)$ are also discussed.

Comments: 37 pages, 21 figures