Relations between Neutrino and Charged Fermion Masses

TL;DR

This paper uncovers a novel relation linking neutrino and charged fermion masses, supported by a left-right symmetric model, offering insights into fermion mass hierarchies and mixing parameters.

Contribution

It proposes a new mass relation connecting neutrino and charged fermion masses, derived within a left-right symmetric theoretical framework.

Findings

Identifies a specific ratio relation between neutrino mass squared differences and charged fermion masses and mixing angles.

Suggests this relation can be predicted by a left-right symmetric model.

Provides potential clues for understanding fermion mass generation mechanisms.

Abstract

We find an intriguing relation between neutrino and charged fermion masses, $|m_{\nu_3^{}}^2- m_{\nu_1^{}}^2| : (m_{\nu_2^{}}^2- m_{\nu_1^{}}^2):: V_{tb}^4 m_\tau^2 m_b^2/m_t^2 : V_{cs}^4 m_\mu^2 m_s^2/m_c^2$. We further indicate this relation can be predicted by a left-right symmetric model.