A Supersymmetric Theory of Flavor and R Parity

Details A Supersymmetric Theory of Flavor and R Parity A Supersymmetric Theory of Flavor and R Parity

1996-02-22

arxiv.org/abs/hep-ph/9602364v1

Phys.Rev.D54:2328-2339,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pp. LaTeX, 1 Postscript Figure

Scientific paper

10.1103/PhysRevD.54.2328

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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