Neutrino Mass Matrix Out of Up-Quark Masses Only

TL;DR

This paper derives the neutrino mass matrix solely from up-quark masses within an SO(10) framework, naturally explaining large neutrino mixing angles using only three known parameters.

Contribution

It presents a novel approach to determine the neutrino mass matrix from up-quark masses under a symmetric four zero texture in SO(10), linking neutrino properties to quark masses.

Findings

Neutrino mixing angles are naturally large.

All neutrino masses and mixings are expressed with only three parameters.

The model successfully reproduces observed neutrino oscillation data.

Abstract

Under the assumption of symmetric four zero texture for fermion mass matrices in SO(10) model, the neutrino Dirc mass matrix is derived from the up-quark mass matrix. By adjusting two scales of the Majorana mass sector, we can derive observed neutrino two large mixing angles very naturally. It is indeed remarkable that all the masses and mixings of neutrinos are expressed in terms of only three known parameters, $m_t,m_c,m_u$. A typical example of our model is \tan^2 2\theta_{\tau \mu}=\frac{4}{(1-2\frac{m_c}{\sqrt{m_u m_t}})^2}.