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Fermion masses and mixing angles from gauge symmetries

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arxiv hep-ph/9403338 v1 pith:XZCS5IFT submitted 1994-03-22 hep-ph

classification hep-ph
keywords gaugestructuremassesanglesanomalycancellationgeneratinggroup
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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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Cited by 2 Pith papers

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  1. The Very Nearly Right Theory of Flavor

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    A systematic scan of all nine-link Yukawa textures shows the quark CP phase clusters at pi/8, pi/4, pi/2, 3pi/8, and yields precise, falsifiable predictions for the CKM unitarity triangle angles.

  2. Flavor phenomenology of light dark particles

    hep-ph 2026-06 unverdicted novelty 2.0 of 10

    Review surveying limits and prospects for flavor-violating decays of light axion-like particles, highlighting complementarity of lab, astro, and cosmo probes up to 10^12 GeV scales.

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