Unparticle physics on direct CP violation

Understand

The effects of the peculiar CP conserving phases in unparticle propagators are explored.

• We find that the phases have a great impact on CP-violation.
• We adopt the decays $B_{d}\to \pi^{+} \pi^{-}$ and $B_{d}\to \ell^{-}\ell^{+}$ as the illustrators to demonstrate the influences of these phases on the direct CP asymmetries.
• In particular, we emphasize that unparticle physics is the only model suggested to date that could give the direct CP asymmetries in $B_d\to \ell^{-} \ell^{+}$ as large as 15%.