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We investigate Lepton-Flavor Violating (LFV) decays of Higgs to muon–tau in the Supersymmetric Economical 3-3-1 (SUSYE331) model. In the presence of flavor mixing in sleptons {μ˜,τ˜} and large values of v/v′, the ratio of Br(H→τ+μ−)/Br(H→τ+τ−) can reach non-negligible values O(10−3), as in many known SUSY models. We predict that for the Standard Model Higgs boson, the LHC may detect its decay to muon...