A NEW APPROACH TO THE FAMILY STRUCTURE

Abstract

In this letter, we introduce a new approach to formulate the family structure of the standard model. Trying to mimic the highly constrained representation structure of the standard model while extending the symmetry, we propose an SU (4) ⊗ SU (3) ⊗ SU (2) ⊗ U (1) symmetry with a SM-like chiral spectra basically “derived” from the gauge anomaly constraints. Embedding the SM leads to SU (4)A ⊗ SU (3)C ⊗ SU (2)L ⊗ U (1)X models, which upon the SU (4)A ⊗ U (1)Y symmetry breaking, gives the three families naturally as a result. A specific model obtained from the approach is illustrated. The model, or others from our approach, holds promise of a very interesting phenomenology. We sketch some of the results here. An interesting possibility of supersymmetrizing the model with the EW-Higgses already in the spectrum is noted. A comparison with other approaches is also discussed.