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Register a new userLepton flavor violating decays of Standard-Model-like Higgs in 3-3-1 model with neutral lepton
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The one loop contribution to the lepton flavor violating decay $h^0rightarrow mutau$ 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 $v_3$.
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In the framework of the flipped 3-3-1 model introduced recently [1], the lepton-flavor-violating (LFV) decay $mu rightarrow 3e$ was predicted to have a large branching ratio (Br) close to the recent experimental limit. We will show that the Br of LFV decays of the standard-model-like (SM-like) Higgs boson decays (LFVHD) Br$(hrightarrow e_ae_b)$ may also be large. Namely, the Br$(hrightarrow mutau,etau)$ can reach values of $mathcal{O}(10^{-4})-mathcal{O}(10^{-5})$, which will reach the upcoming experimental sensitivities. On the other hand, for LFV decays of charged leptons (cLFV) $(e_brightarrow e_agamma)$, the branching ratios are well below experimental bounds.
We consider the minimal 3-3-1 model with three sterile neutrinos transforming as singlet under the $SU(3)_Lotimes U(1)_X$ symmetry. This model, with or without sterile neutrinos, predicts flavor violating interactions in both quark and lepton sectors, since all the charged fermions mass matrices can not be assumed diagonal in any case. Here we accommodate the lepton masses and the Pontecorvo-Maki-Nakawaga-Sakata matrix at the same time, and as consequence the Yukawa couplings and the unitary matrices which diagonalize the mass matrices are not free parameters anymore. We study some phenomenological consequences, i.e., $l_ito l_jl_k bar{l}_k$ and $l_ito l_jgamma$ which are induced by neutral and doubly charged particles present in the model. In particular we find that if the decay $muto eebar{e}$ is observed in the future, the only particle in the model that could explain this decay is the doubly charged vector bilepton.
Exotic Higgs decays are promising channels to discover new physics in the near future. We present a simple model with a new light scalar that couples to the Standard Model through a charged lepton-flavor violating interaction. This can yield exciting new signatures, such as $h to e^+ e^+ mu^-mu^-$, that currently have no dedicated searches at the Large Hadron Collider. We discuss this model in detail, assess sensitivity from flavor constraints, explore current constraints from existing multi-lepton searches, and construct a new search strategy to optimally target these exotic, lepton-flavor violating Higgs decays.
The lepton flavor violating decay of the Standard Model-like Higgs (LFVHD) is discussed in the framework of the radiative neutrino mass model built in cite{Kenji}. The branching ratio (BR) of the LFVHD are shown to reach $10^{-5}$ in the most interesting region of the parameter space shown in cite{Kenji}. The dominant contributions come from the singly charged Higgs mediations, namely the coupling of $h^pm_2$ with exotic neutrinos. Furthermore, if doubly charged Higgs is heavy enough to allow the mass of $h^pm_2$ around 1 TeV, the mentioned BR can reach $10^{-4}$. Besides, we have obtained that the large values of the Br$(hrightarrowmutau)$ leads to very small ones of the Br$(hrightarrow etau)$, much smaller than various sensitivity of current experiments.
In the simplest little Higgs model the new flavor-changing interactions between heavy neutrinos and the Standard Model leptons can generate contributions to some lepton flavor violating decays of $Z$-boson at one-loop level, such as $Z to tau^{pm}mu^{mp}$, $Zto tau^{pm}e^{mp}$, and $Z to mu^{pm}e^{mp}$. We examine the decay modes, and find that the branching ratios can reach $10^{-7}$ for the three decays, which should be accessible at the Giga$Z$ option of the ILC.
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