See-saw neutrino masses and large mixing angles in the vortex background on a sphere

Abstract

In the vortex background on a sphere, a single 6-dimensional fermion family gives rise to 3 zero-modes in the 4-dimensional point of view, which may explain the replication of families in the Standard Model. Previously, it had been shown that realistic hierarchical mass and mixing patterns can be reproduced for the quarks and the charged leptons. Here, we show that the addition of a single heavy 6-dimensional field that is gauge singlet, unbound to the vortex, and embedded with a bulk Majorana mass enables to generate 4D Majorana masses for the light neutrinos through the see-saw mechanism. The scheme is very predictive. The hierarchical structure of the fermion zero-modes leads automatically to an inverted pseudo-Dirac mass pattern, and always predicts one maximal angle in the neutrino see-saw matrix. It is possible to obtain a second large mixing angle from either the charged lepton or the neutrino sector, and we demonstrate that this model can fit all observed data in neutrino oscillations experiments. Also, U_{e3} is found to be of the order ~0.1.

23 pages, 1 figure

References in corpus (7)

• Updated global fit to three neutrino mixing: status of the hints of theta13 > 0
• Natural Neutrino Masses and Mixings from Warped Geometry
• An A4 flavor model for quarks and leptons in warped geometry
• Dirac operator on the Riemann sphere
• Seesaw in the bulk
• Signatures from an extra-dimensional seesaw model
• Majorana neutrinos from warped extra dimensions

Cited by in corpus (12)

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• Neutrino Masses and Mixing in Models with Large Extra Dimensions and Localized Fermions
• Dynamical generation of fermion mass hierarchy in an extra dimension
• Seesaw in the bulk
• Neutrino hierarchy and fermion spectrum from a single family in six dimensions: realistic predictions
• Seesaw mechanism in magnetic compactifications
• Heavy-meson physics and flavour violation with a single generation
• Flavour changing $Z^{\prime }$ signals in a 6D inspired model
• Neutrino masses and the Cabibbo expansion
• Fermion Masses from Six Dimensions and Implications for Majorana Neutrinos
• Fermionic zero modes in the vortex field in arbitrary dimensions and index of Dirac operator with Majorana-like interaction