CP Violation in $B^{\pm }\to \gamma {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$

Abstract

We consider CP violating effects in decays of the type $B^{\pm }\to \gamma a_{1,2}^{\pm }$ where $a_{1,2}$ are the $J^P=1^{+}$ and $2^{+}$ resonances each decaying to the common final state via $a_{1,2}^{\pm }\to {\pi }^{\pm }{\rho }^0$. The resonances enhance the CP asymmetries and also knowledge of their masses and widths facilitates calculations of the effects. Several types of CP asymmetries are sizable ($\sim 10$--30\%) requiring about (3--10)$\times 10^8$ $B^{\pm }$ mesons for detection at the $3\sigma$ level thereby providing a method for measuring the angle $\alpha$ in the unitarity triangle. \bigskip

Comments: 8, SLAC-PUB-6524