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arXiv · hep-ph/9602364

A Supersymmetric Theory of Flavor and R Parity

Christopher D. Carone·Lawrence J. Hall·Hitoshi Murayama
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Abstract

We construct a renormalizable, supersymmetric theory of flavor and $R$ parity based on the discrete flavor group $(S_3)^3$. The model can account for all the masses and mixing angles of the Standard Model, while maintaining sufficient squark degeneracy to circumvent the supersymmetric flavor problem. By starting with a simpler set of flavor symmetry breaking fields than we have suggested previously, we construct an economical Froggatt-Nielsen sector that generates the desired elements of the fermion Yukawa matrices. With the particle content above the flavor scale completely specified, we show that all renormalizable $R$-parity-violating interactions involving the ordinary matter fields are forbidden by the flavor symmetry. Thus, $R$ parity arises as an accidental symmetry in our model. Planck-suppressed operators that violate $R$ parity, if present, can be rendered harmless by taking the flavor scale to be $\lesssim 8 \times 10^{10}$ GeV.

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Christopher D. Carone, Lawrence J. Hall, Hitoshi Murayama. 1996-02-22. A Supersymmetric Theory of Flavor and R Parity. https://doi.org/10.1103/physrevd.54.2328

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