Constraint on rho-bar, eta-bar from B to K*pi

Abstract

A linear CKM relation, $\bar{\eta }=\tan {\Phi }_{3/2}(\bar{\rho }-0.24\pm 0.03)$, involving a $1\sigma$ range for ${\Phi }_{3/2}$, $20^{\circ }<{\Phi }_{3/2}<115^{\circ }$, is obtained from $B^0\to K^{\ast }\pi$ amplitudes measured recently in Dalitz plot analyses of $B^0\to K^{+}{\pi }^{-}{\pi }^0$ and $B^0(t)\to K_S{\pi }^{+}{\pi }^{-}$. This relation is consistent within the large error on ${\Phi }_{3/2}$ with other CKM constraints which are unaffected by new $b\to s\bar{q}q$ operators. Sensitivity of the method to a new physics contribution in the $\Delta S=\Delta I=1$ amplitude is discussed.

Comments: 5 pages, 4 figures. After publication of this paper in Phys. Rev. D 77, 057504 (2008) the results of Ref. [6] were corrected. We update our analysis in a separate addendum