Extracting information on CKM phases, electroweak penguin diagrams, and new physics fromB→VVdecays

We derive constraints for $\overrightarrow{B}{V}_1{V}_2$ modes ${(V}_{1,2}=$vector meson) that allow a model-independent quantitative assessment of the contributions from electroweak penguin diagrams and/or new physics. The interplay of direct $\mathrm{CP}$ with oscillation studies then may lead to the extraction of the angle $\alpha ,$ using $\overrightarrow{B}{K}^{*}\omega \left(\rho \right)$ and $\overrightarrow{B}\rho \omega \left(\phi \right).\mathrm{}$ Any reservation one may have can be explicitly verified in a model-independent way by assuming only isospin conservation. We also briefly mention how the method can be used to extract $\gamma$ via $B_s$ decays: $B_s\to K^{*}\rho ,\hspace{0.5em}{K}^{*}{K}^{*}.$