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An SO(10) Grand Unified Theory of Flavor · Around

2009

An SO(10) Grand Unified Theory of Flavor

Dutta, Bhaskar, Mimura, Yukihiro, Mohapatra, R. N.

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We present a supersymmetric SO(10) grand unified theory (GUT) of flavor based on an $S_4$ family symmetry.

It makes use of our recent proposal to use SO(10) with type II seesaw mechanism for neutrino masses combined with a simple ansatz that the dominant Yukawa matrix (the {\bf 10}-Higgs coupling to matter) has rank one.
In this paper, we show how the rank one model can arise within some plausible assumptions as an effective field theory from vectorlike {\bf 16} dimensional matter fields with masses above the GUT scale.
In order to obtain the desired fermion flavor texture we use $S_4$ flavon multiplets which acquire vevs in the ground state of the theory.

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S. Weinberg, Trans. New York Acad. Sci. 38
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