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Lepton flavor violating Higgs decays induced by massive unparticle

We predict the branching ratios of the lepton flavor violating Higgs decays H^0\rightarrow e^{\pm} μ^{\pm}, H^0\rightarrow e^{\pm} τ^{\pm} and H^0\rightarrow μ^{\pm} τ^{\pm} with the assumption that lepton flavor violation is due to the unparticle mediation. Here, we consider an effective interaction which breaks the conformal invariance after the electroweak symmetry breaking and causes that unparticle becomes massive. The new interaction results in a modification of the mediating unparticle propagator and brings additional contribution to the branching ratios of the lepton flavor violating decays with the new vertex including Higgs field and two unparticle fields. We observe that the branching ratios of the decays under consideration lie in the range of 10^{-6}-10^{-4}.