THE FAMILY PROBLEM: EXTENSION OF STANDARD MODEL WITH A LOOSELY-COUPLED SU(3) FAMILY GAUGE THEORY

Abstract

We all know that in our family of the basic particles 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 SUc(3) × SU(2) × U(1) standard model there is an SUf(3) extension - a simple SUc(3) × SU(2) × U(1) × SUf(3) extended standard model - neutrino masses are obtained in a "renormalizable" way in the dark sector. On the dark matter side, the family gauge bosons (familons) are massive through the so-called "colored" Higgs mechanism while the remaining Higgs particles are also massive. As the bridge between the dark matter and the ordinary matter, the three neutrinos, the electron-like, muon-like, and tao-like neutrinos, form the basic family triplets. Hopefully all the couplings to the "visible" ordinary matter are through the neutrinos, explaining why dark matter (25 %) is more than visible matter (5 %) in our Universe.