We study lepton flavor violation in a class of supersymmetric models with
light sgoldstino - scalar superpartner of Goldstone fermions responsible for
spontaneous supersymmetry breaking. Sgoldstino couplings to the Standard Model
(SM) fermions are determined by the MSSM soft terms and, in general, provide
with flavor violation in this sector. Sgoldstino admixture to the lightest
Higgs boson results in changes of its coupling constants and, in particular,
leads to lepton flavor-violating decay $h\to\tau\mu$ of the Higgs resonance. We
discuss viability and phenomenological consequences of this scenario.Comment: 29 pages, 14 figure