Abstract

A new process with the lepton flavor violation (LFV) is presented in the setup for the LHC. The LFV is induced by the one-loop effect through Higgs bosons in the framework of the type-III two Higgs doublet model. At the decoupling limit of the parameter space of type-III two Higgs doublet model, where the masses of heavier Higgs bosons are at TeV scale while the mass of the lighter Higgs boson remains as the SM Higgs boson, the LFV process is strongly suppressed at the tree level. However, one-loop induced LFV process is instead realized to be a sizeable production cross section in vector-boson fusion production process at LHC. Since the LFV process may not be produced by the $s$-channel $H/A$ or ${H}^{\ifmmode\pm\else\textpm\fi{}}$ bosons decays only, rather mixture with the $t$-channel production mode allows us to access to the higher Higgs boson mass region than current $s$-channel based searches at the LHC. This gives complementary path to cover the parameter spaces in LFV couplings.

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