Δ(54) flavor model for leptons and sleptons

We study a Delta(54) x Z(2) flavor model for leptons and sleptons. The tri-bimaximal mixing can be reproduced for arbitrary neutrino masses if certain vacuum alignments of scalar fields are realized. The deviation from the tri-bimaximal mixing of leptons is predicted. The predicted upper bound for sin theta(13) is 0.07. The value of sin theta(23) could be deviated from the maximal mixing considerably while sin theta(12) is hardly deviated from 1/root 3. We also study SUSY breaking terms in the slepton sector. Three families of left-handed and right-handed slepton masses are almost degenerate. Our model leads to smaller values of flavor changing neutral currents than the present experimental bounds.