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arXiv · hep-ph/9312230

Partial Derivation of Transformation Properties of Quarks and Leptons

Paul H. Frampton·Rabindra N. Mohapatra
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Abstract

Under the assumptions that $SU(3)_c\times U(1)_Y \times G^{\prime}$ with $G^{\prime}$ simple is a local symmetry group at high energies, that color is parity-conserving, and the Y-charges are irreducible, we show that anomaly constraints imply the minimal set of fermions is fifteen in number. Given this minimal set, we further show that $G^{\prime}$ must be $SU(2)$ and the unbroken gauge symmetry is {\it either} color {\it or} the product of color with electric charge.

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Paul H. Frampton, Rabindra N. Mohapatra. 1993-12-06. Partial Derivation of Transformation Properties of Quarks and Leptons. https://doi.org/10.1103/physrevd.50.3569

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