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

We study the effects of unparticle physics on muon $g-2$ 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 $g-2$ 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 $d_{\mathcal{U}}\gtrsim 1.6$.