Neutrino masses and mixings in non-factorizable geometry

TL;DR

This paper explores how bulk fermions in a non-factorizable geometry can naturally generate small neutrino masses and large mixing angles without the see-saw mechanism, using the Randall-Sundrum model framework.

Contribution

It demonstrates the existence of a localized zero mode for bulk fermions in the Randall-Sundrum model, offering a novel approach to neutrino mass generation.

Findings

Zero mode can be localized on the hidden brane for certain fermion masses.

Small Dirac neutrino masses can be achieved without see-saw mechanism.

Hierarchy and mixing angles of neutrinos are naturally explained.

Abstract

We study bulk fermion fields in the localized gravity model with non-factorizable metric recently proposed by Randall and Sundrum, and Gogberashvili. In addition to a tower of weak-scale Kaluza-Klein states we find a zero mode for any value of the fundamental fermion mass. If the fermion mass is larger than half the curvature of the compact dimension, the zero mode can be localized on the ``hidden'' 3-brane in the Randall-Sundrum model. Identifying this mode with a right-handed neutrino provides a new way for obtaining small Dirac neutrino masses without invoking a see-saw mechanism. Cancellation of the parity anomaly requires introducing an even number of bulk fermions. This naturally leads to a strong hierarchy of neutrino masses and generically large mixing angles.