Systematic Study Of Leptonic Mixing In A Class Of SU_H(2) Models

Abstract

We perform a systematic analysis of the PMNS matrices which arise when one assigns the three generations of leptons to the $2\oplus 1$ representation of a horizontal $S{U}_H(2)$ symmetry. This idea has been previously explored by Kuchimanchi and Mohapatra. However, we assume $(i)$ the neutrino mass matrix results from leptonic couplings to $S{U}_L(2)$ triplet scalar fields and $(ii)$ hierarchies exist amongst lepton mass matrix elements which result from couplings to scalar fields with different $S{U}_H(2)$ charges. Of the sixteen candidate PMNS matrices which result it is found that only one is both predictive and possesses a leading order structure compatible with experimental data. The relevant neutrino mass matrix displays the symmetry $L_e-L_{\mu }-L_{\tau }$ to leading order and we explore the perturbations required to produce a realistic lepton spectrum. The effective mass in neutrinoless double beta decay is required to lie in the range $<m>/(10^{-2}\mathrm{eV})\in [0.7,2.5]$, which is just below current experimental bounds. $U_{e3}$ is non-zero but not uniquely determined.

arXiv commentTo appear in Phys. Rev. D

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Cited by in corpus (6)

• Gauged L_mu - L_tau Symmetry at the Electroweak Scale
• Lepton flavor violation with light vector bosons
• Lepton Flavor Violation with Displaced Vertices
• Large and Almost Maximal Neutrino Mixing within the Type II See-Saw Mechanism
• Renormalization effects on neutrino masses and mixing in a string-inspired SU(4) X SU(2)_L X SU(2)_R X U(1)_X model
• Running neutrino masses and mixing in a SU(4) x SU(2)^2 x U(1)_X model