Solving the mu problem in gauge mediated supersymmetry breaking models with flavor symmetry

Abstract

We suggest a solution to the μproblem of gauge mediated supersymmtery breaking models based on flavor symmetries. In this scenario the μterm arises through the vacuum expectation value of a singlet scalar field which is suppressed by a flavor symmetry factor relative to the scale of dynamical SUSY breaking. The same flavor symmetry also ensures that the soft SUSY breaking parameter Bμis not much larger than μ^2, a necessary condition for the stability of electroweak symmetry breaking. Explicit examples where Bμ~ μ^2 and Bμ<< μ^2 are presented. The latter case provides a natural solution to the supersymmetric CP problem. We show that the same flavor symmetry that suppresses the μand the Bμparameters can also play a role in explaining the fermion mass and mixing hierarchy puzzle.

12 pages in LaTeX