Muon anomalous magnetic moment and lepton flavor violating tau decay in unparticle physics

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We study the effects of unparticle physics on muon $g\ensuremath{-}2$ and lepton flavor violating (LFV) tau decay processes. LFV interactions between the standard model sector and unparticles can explain the difference of the experimental value of muon $g\ensuremath{-}2$ from the standard model prediction. While the same couplings generate LFV tau decay, we found that LFV coupling can be of $\mathcal{O}(0.1\dots{}1)$ without conflict with the experimental bounds of LFV tau decay if the scaling dimension of unparticle operator ${d}_{\mathcal{U}}\ensuremath{\gtrsim}1.6$.