Phenomenological Meaning of a Neutrino Mass Matrix Related to Up-Quark Masses

TL;DR

This paper explores a neutrino mass matrix linked to up-quark masses that successfully predicts tribimaximal mixing, highlighting the need for specific phenomenological relations and a particular flavor basis.

Contribution

It introduces a neutrino mass matrix model connected to up-quark masses and identifies conditions for achieving tribimaximal mixing.

Findings

Neutrino mass matrix related to up-quark masses can produce tribimaximal mixing.

Certain phenomenological relations among masses and CKM parameters are necessary.

A specific flavor basis diagonalizes down-quark and charged lepton mass matrices.

Abstract

Recently, a curious neutrino mass matrix has been proposed: it is related to up-quark masses, and it can excellently give a nearly tribimaxial mixing. It is pointed out that, in order to obtain such successful results, three phenomenological relations among masses and CKM parameters must be simultaneously satisfied. This suggests that there must be a specific flavor-basis in which down-quark and charged lepton mass matrices are simultaneously diagonalized.