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We study effects of unparticle physics on muon g-2 and LFV tau decayprocesses. LFV interactions between the Standard Model sector and unparticlescan explain the difference of experimental value of muon g-2 from the StandardModel prediction. While the same couplings generate LFV tau decay, we foundthat LFV coupling can be of O(0.1 ... 1) without conflict with experimentalbounds of LFV tau decay if the scaling dimension of unparticle operator d_{U} >1.6.

Muon Anomalous Magnetic Moment and Lepton Flavor Violating Tau Decay in Unparticle Physics