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

Abstract

A linear CKM relation, $\barη= \tanΦ_{3/2}(\barρ-0.24\pm 0.03)$, involving a $1σ$ range for $Φ_{3/2}$, $20^\circ < Φ_{3/2} < 115^\circ$, is obtained from $B^0\to K^*π$ amplitudes measured recently in Dalitz plot analyses of $B^0\to K^+π^-π^0$ and $B^0(t)\to K_Sπ^+π^-$. This relation is consistent within the large error on $Φ_{3/2}$ 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 $ΔS=ΔI=1$ amplitude is discussed.

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