Fermion masses and mixing angles from gauge symmetries

Details Fermion masses and mixing angles from gauge symmetries Fermion masses and mixing angles from gauge symmetries

1994-03-22

arxiv.org/abs/hep-ph/9403338v1

Phys.Lett.B332:100-110,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, preprint numbers OUTP-9403 and FTUAM-94/7, LaTex

Scientific paper

10.1016/0370-2693(94)90865-6

The structure of the quark and lepton masses and mixing angles provides one of the few windows we have on the underlying physics generating the \sm. In an attempt to identify the underlying symmetry group we look for the simplest gauge extension of the SUSY standard model capable of generating the observed structure. We show that the texture structure and hierarchical form found in the (symmetric) quark and lepton mass matrices follows if one extends the gauge group of the standard model to include an horizontal $U(1)$ gauge factor, constrained by the need for anomaly cancellation. This $U(1)$ symmetry is spontaneously broken slightly below the unification/string scale leaving as its only remnant the observed structure of masses and mixings. Anomaly cancellation is possible only in the context of superstring theories via the Green Schwarz mechanism with $sin^2(\theta_W)=3/8$.

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