Tree-Penguin Interference and Tests for $\cosγ< 0$ in Rare $B\to PP$, $PV$ and $VV$ Decays

Abstract

Recent rare $B \to PP$, $PV$ decay data suggest that factorization holds well if, contrary to current fits, one has $\cosγ< 0$ where $γ\equiv {\rm arg}(V_{ub}^*)$. We update previous results with light cone sum rule form factors, which seem to work better. We then discuss various $B\to VV$ modes as well as the $K^{*} η$ modes. Finding the pattern of $ρ^+ω^0 < ρ^+ρ^0$, $K^{*+}ρ^{-,0} > K^{*0}ρ^+$, $K^{*+}ω^0 > K^{*0}ω^0$ and $K^{*+}η> K^{*0}η$ would strengthen the support for $\cosγ< 0$. The electroweak penguin enhances (suppresses) the $K^{*+}ρ^{0}$ ($K^{*0}ρ^{0}$) rate by a factor of 2, and finding $K^{*+}ρ^{0} \simeq K^{*+}ρ^{-}$ would be strong evidence for the electroweak penguin.