Probing Models of Dirac Neutrino Masses via the Flavor Structure of the Mass Matrix

Abstract

We classify models of the Dirac neutrino mass by concentrating on flavor structures of the mass matrix. The advantage of our classification is that we do not need to specify detail of models except for Yukawa interactions because flavor structures can be given only by products of Yukawa matrices. All possible Yukawa interactions between leptons (including the right-handed neutrino) are taken into account by introducing appropriate scalar fields. We also take into account the case with Yukawa interactions of leptons with the dark matter candidate. Then, we see that flavor structures can be classified into seven groups. The result is useful for the efficient test of models of the neutrino mass. One of seven groups can be tested by measuring the absolute neutrino mass. Other two can be tested by probing the violation of the lepton universality in $\ell \to {\ell }^{\prime }\nu \overline{\nu }$. In order to test the other four groups, we can rely on searches for new scalar particles at collider experiments.

21 pages, 20 eps files, published in PLB

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