Flavor-changing processes andCPviolation in theS3 × Z3model

We analyze Higgs-boson-mediated processes in the recently proposed model based on the additional discrete symmetry $S_3 \times Z_3$. The tightest constraints on the flavor-changing Higgs-boson masses arise from ${\Delta M}_K$ and ${\Delta M}_B$ and require that these bosons have masses greater than 2TeV. $\mathrm{CP}$ violation arises predominantly from Higgs-boson exchange and is of the superweak type. To account for $\mathrm{CP}$ violation in the $K$ system, a reasonable Higgs-boson-mass range should be between 12 and 40 TeV. Leptonic and semileptonic flavor-changing processes are negligible.