Measuring Arg($V_{ub}$) in $B\to K\pi$

Abstract

It has previously been shown that a measurement of Arg$(V_{ub})=\gamma$ can be obtained from a triangle construction using $\mathcal{B}(B^0\to K^{+}{\pi }^{-})$, $\mathcal{B}(\overline{B^0}\to K^{-}{\pi }^{+})$, $\mathcal{B}(B^{\pm }\to K_s^0{\pi }^{\pm })$, and $\mathcal{B}(B^{\pm }\to {\pi }^{\pm }{\pi }^0)$. We evaluate experimental as well as theoretical uncertainties in this measurement. We find that a measurement of $\gamma$ with the next generation of B-factories (BaBar, BELLE, CLEO III) is statistics rather than theory limited if soft rescattering effects are small.

Comments: fixed minor sign error in equation 8 and 11