Double suppression of FCNCs in supersymmetric models

A mechanism for double suppression of flavor-changing neutral currents (FCNCs) and CP violating phases in supersymmetric models is suggested. At $M_{\mathrm{S}\mathrm{U}\mathrm{S}\mathrm{Y}}$ they are suppressed due to a nonabelian discrete flavor symmetry, and the infrared attractive force of gauge interactions in extra dimensions are used to suppress them at the compactification scale. We present a concrete model, which is a simple extension of $S_3$ invariant minimal supersymmetric standard model, where only $\mathrm{S}\mathrm{U}(2{)}_L$ and $\mathrm{S}\mathrm{U}(3{)}_C$ gauge multiplets are assumed to propagate in the bulk. We find that a disorder of 2 orders of magnitude in soft supersymmetry breaking parameters above the compactification scale may be allowed to satisfy experimental constraints on FCNC processes and CP violating phenomena.

Figure 1

The IR attractiveness of $h_D/(M_2{Y}_D)$.

Figure 2

The IR attractiveness of $m_Q^2/|M_2{|}^2$.