The standard HVM

TL;DR

This paper presents a hierarchical VEVs model that predicts leptonic mixing angles based on quark masses and the Cabibbo angle, favoring Dirac neutrinos and proposing a new dark matter candidate.

Contribution

It introduces a standard hierarchical VEVs model that provides precise predictions for leptonic mixing angles and suggests a novel neutrinic dark matter candidate.

Findings

Predicts leptonic mixing angles with high precision

Favors Dirac neutrinos over inverted hierarchy

Proposes neutrinic dark matter as a new candidate

Abstract

We discuss a standard hierarchical VEVs model which predicts the leptonic mixing angles in terms of the Cabibbo angle, and masses of strange and charm quarks as $\sin \theta_{12}^\ell \geq 1 - 2 \sin \theta_{12}$, $\sin \theta_{23}^\ell \geq 1 - \sin \theta_{12}$, and $\sin \theta_{13}^\ell \geq \sin \theta_{12} - \frac{m_s}{m_c}$ for the normal mass ordering of neutrinos. This results in very precise predictions of the leptonic mixing angles given by $\sin \theta_{12}^\ell = 0.55 \pm 0.00134 $, $\sin \theta_{23}^\ell = 0.775 \pm 0.00067 $, and $\sin \theta_{13}^\ell = 0.1413 - 0.1509 $. Furthermore, we predict neutrinos to be the Dirac kind disfavouring the inverted mass hierarchy. The standard hierarchical VEVs model predicts a possible new class of the dark matter candidate, named as neutrinic dark matter.