In this paper, we study the effects of the unparticles on the parity-violating asymmetry for the low energy electron-electron scattering, $e^-e^-to e^-e^-$. Using the data from the E158 experiment at SLAC we extract the limits on the unparticle coupling $lambda_{AV}$, and on the the energy scale $Lambda$ at 95% C.L. for various values of the scaling dimension $d$.
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