Neutrino masses in the economical 3-3-1 model

Abstract

We show that, in frameworks of the economical 3-3-1 model, the suitable pattern of neutrino masses arises from the three quite different sources - the lepton-number conserving, the spontaneous lepton-number breaking and the explicit lepton-number violating, widely ranging over the mass scales including the GUT one: $u\sim O(1)\mathrm{GeV}$, $v\approx 246\mathrm{GeV}$, $\om\sim O(1) \mathrm{TeV}$ and $\mathcal{M}\sim \mathcal{O}(10^{16})\mathrm{GeV}$. At the tree-level, the model contains three Dirac neutrinos: one massless, two large with degenerate masses in the order of the electron mass. At the one-loop level, the left-handed and right-handed neutrinos obtain Majorana masses $M_{L,R}$ in orders of $10^{-2}-10^{-3}\mathrm{eV}$ and degenerate in $M_R=-M_L$, while the Dirac masses get a large reduction down to $\mathrm{eV}$ scale through a finite mass renormalization. In this model, the contributions of new physics are strongly signified, the degenerations in the masses and the last hierarchy between the Majorana and Dirac masses can be completely removed by heavy particles. All the neutrinos get mass and can fit the data.

15 pages, 8 figures

References in corpus (8)

• Massive neutrinos and cosmology
• Relic keV sterile neutrinos and reionization
• Direct X-ray Constraints on Sterile Neutrino Warm Dark Matter
• Constraints on Sterile Neutrino Dark Matter
• Interesting radiative patterns of neutrino mass in an SU(3)_C X SU(3)_L X U(1)_X model with right-handed neutrinos
• Fermion masses in the economical 3-3-1 model
• Higgs-gauge boson interactions in the economical 3-3-1 model
• Atomic parity violation in the economical 3-3-1 model

Cited by in corpus (8)

• Neutrino masses and lepton flavor violation in the 3-3-1 model with right-handed neutrinos
• Phenomenological aspects of the exotic $T$ quark in 331 models
• Constraints on economical 331 models from mixing of K, Bd and Bs neutral mesons
• Charged and Neutral Currents in a 3-3-1 Model with Right-Handed Neutrinos
• Higgs phenomenology of supersymmetric economical 3-3-1 model
• Sfermion masses in the supersymmetric economical 3-3-1 model
• Bilepton contributions to the neutrinoless double beta decay in the economical 3-3-1 model
• Stability of the Scalar Potential and Symmetry Breaking in the Economical 3-3-1 Model