The New Extended Left-Right Symmetric Grand Unified Model with SO(3) Family Symmetry

TL;DR

This paper introduces a novel left-right symmetric grand unified model incorporating SO(3) family symmetry, successfully explaining fermion mass spectra, flavor mixing, CP violation, matter-antimatter asymmetry, and dark matter candidates.

Contribution

It extends the Pati-Salam model with new symmetries and fermions, providing a comprehensive framework consistent with experimental data and cosmological observations.

Findings

Reproduces quark and lepton flavor mixing consistent with experiments.

Explains strong CP violation effectively.

Identifies a potential dark matter candidate in the lightest right-handed Majorana neutrino.

Abstract

We suggest a new left-right symmetric grand unified model by extending Pati-Salam group to contain an isospin SU(2) and a flavor SO(3) subgroup, where the superheavy fermions are introduced as a mirror to the low-energy standard model fermions. The model undergoes three steps to break to the SM by means of the specified Higgs multiplets. The model few parameters can elegantly accommodate whole mass spectra for all the particles at the electroweak scale, especially, two different flavor mixing for the quark and lepton sectors are reproduced in agreement with the current experimental data very well. The strong CP violation is excellently explained. The matter-antimatter asymmetry in the universe is successfully implemented through the B-L violating decays of the superheavy gauge bosons. The model also predicts that the lightest right-handed Majorana neutrino, whose mass is about several hundred GeVs and energy is about $10^{16}$ GeV, is possibly a candidate for the dark matter.