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Higgs Decay $h\toμτ$ with Minimal Flavor Violation

We consider the tentative indication of flavor-violating Higgs boson decay $h\toμτ$ recently reported in the CMS experiment within the framework of minimal flavor violation. Specifically, we adopt the standard model extended with the seesaw mechanism involving right-handed neutrinos plus effective dimension-six operators satisfying the minimal flavor violation principle in the lepton sector. We find that it is possible to accommodate the CMS $h\toμτ$ signal interpretation provided that the right-handed neutrinos couple to the Higgs boson in some nontrivial way. We take into account empirical constraints from other lepton-flavor-violating processes and discuss how future searches for the $μ\to eγ$ decay and $μ\to e$ conversion in nuclei may further probe the lepton-flavor-violating Higgs couplings.