Right-handed current with $CP$ violation in the $b\to u$ transition

We show that the experimental data on $\mathrm{\mid }{V}_{ub}\mathrm{\mid }$ in various $B$ meson decay modes suggest a possibility of $CP$-violating right-handed current in the $b\to u$transition\mathrm{.}Itsconsequencesin$B\to\pi\pi,,\rho\rho,,DK$ are examined and compared with experimental results in order to clarify possible signals of the $CP$ violation in these decay modes. As a result, we find that the $CP$-violating right-handed current is consistent with current experimental data. Its signal might be discovered by precise $CP$ measurements in future experiments.