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We examine the unparticle CP-conserving phase effects on the direct CPasymmetry for both polarized and unpolarized lepton in the inclusive $b\to d\ell^+ \ell^-$ transition, where the flavor changing neutral currents areforbidden at tree level but are induced by one-loop penguin diagrams. Theaveraged polarized and unpolarized CP asymmetries depict strong dependency onthe unparticle parameters. In particular, a sizable discrepancy correspondingto the standard model is achieved when the scale dimension value is $1<d_{\UP}<2$. We see that the unparticle stuff significantly enhances, suppresses orchanges the sign of the CP asymmetry depending on the definite value of thescaling dimension $d_{\UP}$. Especially, when $d_{\UP}\sim 1.1$ the CPasymmetries vanish.

CP-Conserving Unparticle Phase Effects on the Unpolarized and Polarized Direct CP Asymmetry in $b \to d \ell^+\ell^-$ Transition