Electroweak penguin amplitudes and constraints onγin charmlessB→VPdecays

Electroweak penguin (EWP) amplitudes are studied model independently in B meson decays to charmless final states consisting of a vector meson (V) and a pseudoscalar meson $\mathrm{}\left(P\right).$ A set of SU(3) relations is derived between EWP contributions and tree amplitudes, in the approximation of retaining only the dominant EWP operators $Q_9$ and $Q_{10}.$ Two applications are described for constraining the weak phase $\gamma ,$ in $B^{\pm }\to {\rho }^{\pm }{K}^0$ and $B^{\pm }\to {\rho }^0{K}^{\pm }$ (or $B^{\pm }\to K^{*\pm }{\pi }^0$ and $B^{\pm }\to K^{*0}{\pi }^{\pm }),$ and in $B^0\to K^{*\pm }{\pi }^{\mp }$ and $B^{\pm }\to \phi K^{\pm }.$ Theoretical uncertainties are discussed.