The Family Problem

TL;DR

This paper proposes an extension to the Standard Model with an SU_f(3) family symmetry, aiming to explain the family problem, neutrino masses, and the nature of dark matter through a new gauge boson framework.

Contribution

It introduces an SU_f(3) extension to the Standard Model, providing a mechanism for family symmetry breaking and linking neutrino properties to dark matter.

Findings

Family gauge bosons are massive via a colored Higgs mechanism.

Neutrinos form basic family triplets with specific couplings.

The model offers a potential explanation for dark matter abundance.

Abstract

We all know that in our family of particle physics we have three generations but still don't know why - the so-called "family problem". On other hand, in view of the masses and oscillations, the neutrinos now present some basic difficulty in the Standard Model. In this note, I propose that on top of the SU_c(3) \times SU(2) \times U(1) standard model there is an SU_f (3) extension - a simple SU_c(3) \times SU(2) \times U(1) \times SU_f (3) extended standard model. The family gauge bosons (familons) are massive through the so-called "colored" Higgs mechanism while the remaining Higgs particles are also massive. The three neutrinos, the electron-like, muon-like, and tao-like neutrinos, form the basic family triplets. Hopefully all the couplings to the "visible" matter are through the neutrinos, explaining why dark matter (25 %) is more than visible matter (5 %) in our Universe.