Abstract
We investigate how observations of the lepton flavor violating decay of the Higgs boson ($h \to \ell\ell^\prime$) can narrow down models of neutrino mass generation mechanisms, which were systematically studied in Refs. [1,2] by focusing on the combination of new Yukawa coupling matrices with leptons. We find that a wide class of models for neutrino masses can be excluded if evidence for $h \to \ell\ell^\prime$ is really obtained in the current or future collider experiments. In particular, simple models of Majorana neutrino masses cannot be compatible with the observation of $h \to \ell\ell^\prime$. It is also found that some of the simple models to generate masses of Dirac neutrinos radiatively can be compatible with a significant rate of the $h \to \ell\ell^\prime$ process.
Highlights
Since the discovery of the neutrino oscillation [3], the origin of small masses for neutrinos has been one of the most important problems of particle physics
Zee [8], in which neutrino masses are generated at the one-loop level by introducing an extended Higgs sector
There are models where neutrino masses are generated at the one-loop or higher-loop levels [9,10,11,12,13,14,15], some of which involve the dark matter candidate running in the loop [12,13,14,15]
Summary
Since the discovery of the neutrino oscillation [3], the origin of small masses for neutrinos has been one of the most important problems of particle physics. [1, 2], models of neutrino masses are classified by focusing on the combinations of new Yukawa coupling matrices for leptons as we briefly review . Such Yukawa interactions determine the flavor structure of the neutrino mass matrix. [1, 2], where models of neutrino masses are systematically classified into some ”Mechanisms” according to combinations of new Yukawa coupling matrices with leptons.
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