O(3) Flavor Symmetry and an Empirical Neutrino Mass Matrix

TL;DR

This paper proposes a novel approach to neutrino mass matrices using O(3)-flavor scalars, linking them to quark and lepton masses, and achieves a nearly tribimaximal mixing pattern without discrete symmetries.

Contribution

It introduces a new framework where neutrino masses originate from vacuum expectation values of O(3)-flavor scalars, connecting them to quark and lepton mass spectra.

Findings

Neutrino mass matrix can be expressed in terms of up-quark and charged lepton masses.

Achieves nearly tribimaximal mixing without discrete symmetry assumptions.

Discusses quark mass relations within the new approach.

Abstract

Based on a new approach to quark and lepton masses, where the mass spectra originate in vacuum expectation values of O(3)-flavor 1+5 (gauge singlet) scalars, a neutrino mass matrix of a new type is speculated. The mass matrix is described in terms of the up-quark and charged lepton masses, and, by assuming a special flavor basis, it can be accommodated to a nearly tribimaximal mixing without explicitly assuming a discrete symmetry. Quark mass relations are also discussed based on the new approach.