Lepton flavor violating decays of Standard-Model-like Higgs in 3-3-1 model with neutral lepton

摘要

The one loop contribution to the lepton flavor violating decay$h^0\rightarrow \mu\tau$ of the SM-like neutral Higgs (LFVHD) in the 3-3-1model with neutral lepton is calculated using the unitary gauge. We havechecked in detail that the total contribution is exactly finite, and thedivergent cancellations happen separately in two parts of active neutrinos andexotic heavy leptons. By numerical investigation, we have indicated that theone-loop contribution of the active neutrinos is very suppressed while that ofexotic leptons is rather large. The branching ratio of the LFVHD stronglydepends on the Yukawa couplings between exotic leptons and $SU(3)_L$ Higgstriplets. This ratio can reach $10^{-5}$ providing large Yukawa couplings andconstructive correlations of the $SU(3)_L$ scale ($v_3$) and the charged Higgsmasses. The branching ratio decreases rapidly with the small Yukawa couplingsand large $v_3$.