Seesaw Options for Three Neutrinos

Abstract

The seesaw mechanism for three neutrinos is discussed, clarifying the situation where the seesaw texture results in three approximately zero mass eigenvalues. The true underlying mechanism is shown to be just the $inverse$ (or $linear$) seesaw, which explains why there could be large mixing. However, these zeroes cannot occur naturally, unless there is a conserved symmetry, i.e. lepton number $L$, either global or gauged, which is softly or spontaneously broken at the TeV scale. We discuss in particular the case where the three heavy singlet neutrinos have $L=3,-2,-1$.

Latex, 11 Pages with 1 figure. Some minor modifications and a reference added

References in corpus (7)

• Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
• Distinguishing seesaw models at LHC with multi-lepton signals
• Improved Constraints on Z' Bosons from Electroweak Precision Data
• Type-III see-saw at LHC
• Radiative Inverse Seesaw: Verifiable New Mechanism of Neutrino Mass
• Large Mixing of Light and Heavy Neutrinos in Seesaw Models and the LHC
• Deciphering the Seesaw Nature of Neutrino Mass from Unitarity Violation

Cited by in corpus (5)

• Inverse Seesaw Mechanism in Nonsupersymmetric SO(10), Proton Lifetime, Nonunitarity Effects, and a Low-mass Z' Boson
• Higgs Vacuum Stability in $B-L$ extended Standard Model
• Interplay between collective effects and non-standard interactions of supernova neutrinos
• Effect on Higgs Boson Decays from Large Light-Heavy Neutrino Mixing in Seesaw Models
• TeV-scale seesaw with non-negligible left-right neutrino mixings