Fermion Masses and Flavor Mixings from Family Symmetry SU(3)

Understand

We suggest a new particle model based on the symmetry group $SU(3)_{C}\otimes SU(2)_{L}\otimes SU(2)_{L'}\otimes SU(2)_{R}\otimes U(1)_{B-L}\otimes SU(3)_{F}\otimes U(1)_{N}$.

• The family symmetry and the high-energy left-handed and right-handed isospin subgroups are respectively broken by some flavon and Higgs fields one after another.
• At the low-energy scale the super-heavy fermions are all integrated out, the model finally leads to an effective theory with the standard model symmetry group.
• After the electroweak breaking all the fermion mass matrices are elegantly characterized only by six parameters.