Two-loop Radiative Neutrino Mechanism in an $SU(3{)}_L\times U(1{)}_N$ Gauge Model

Abstract

By using the $L_e$ - $L_{\mu }$ - $L_{\tau }$ symmetry, we construct an $SU(3{)}_L\times U(1{)}_N$ gauge model that provides two-loop radiative neutrino masses as well as one-loop radiative neutrino masses. The generic smallness of two-loop neutrino masses leading to $\Delta m_{\odot }^2$ compared with one-loop neutrino masses leading to $\Delta m_{atm}^2$ successfully explains $\Delta m_{atm}^2$ $>>$ $\Delta m_{\odot }^2$ by invoking the $L_e$ - $L_{\mu }$ - $L_{\tau }$ breaking. The Higgs scalar ($h^{+}$) that initiates radiative mechanisms is unified into a Higgs triplet together with the standard Higgs scalar (${\varphi }^{+}$, ${\varphi }^0$) to form (${\varphi }^{+}$, ${\varphi }^0$, $h^{+}$), which calls for three families of lepton triplets: (${\nu }_L^i$, ${\ell }_L^i$, ${\omega }_L^i$) (i = 1,2,3), where ${\omega }^i$ denote heavy neutral leptons. The two-loop radiative mechanism is found possible by introducing a singly charged scalar, which couples to ${\ell }_R^i{\omega }_R^j$ (i,j = 2,3).

with 10 pages, revtex, including 2 figures, accepted for publication in Phys. Rev. D (with undefined latex citation indices removed)

References in corpus (16)

• Status of the MSW Solutions to the Solar Neutrino Problem
• Type II Seesaw and a Gauge Model for the Bimaximal Mixing Explanation of Neutrino Puzzles
• Anomalous Flavor U(1): Predictive Texture For Bi-maximal Neutrino Mixing
• Is Large Mixing Angle MSW the Solution of the Solar Neutrino Problems?
• Updated Global Analysis of the Atmospheric Neutrino Data in terms of neutrino oscillations
• Can the Zee ansatz for neutrino masses be correct?
• New model for the neutrino mass matrix
• Zee Neutrino Mass Model in SUSY Framework
• Radiatively Generated Neutrino Masses in SU(3)_L x U(1)_N Gauge Models
• Neutrino Anomalies in an Extended Zee Model
• Non standard analysis of the solar neutrino anomaly (updated including the SNO day/night spectral data)
• Radiatively Induced Neutrino Majorana Masses and Oscillation
• On the Interpretation of the Atmospheric Neutrino Data in Terms of Flavor Changing Neutrino Interactions
• Neutrino mass induced radiatively by supersymmetric leptoquarks
• Neutrino Oscillations Induced by Two-loop Radiative Mechanism
• Zee Neutrino Mass Matrix in the Gauge Mediated Supersymmetry Breaking Scenario

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