Enhancement of the electroweak penguin dominated vector meson decays of $B$ meson

The rare decays $B\to\phi\rho (\pi)$, $B\to\phi\omega$ and $B\to\omega\pi^0$ receive only color suppressed penguin contributions with a very small branching ratio in the standard model. When we include the previously neglected electromagnetic dipole operator, the branching ratios of $B\to\phi\rho $, $B\to\phi\omega $ decays could be enhanced by two orders of magnitude higher to $10^{-7}$. But the $B\to\phi\pi$ and $B\to\omega\pi^0$ decays branching ratios remain tiny without such contribution due to the transversely polarized photon. The branching ratios of annihilation type radiative decays $\bar B^0_d\to\phi\gamma$ can also be enhanced one order magnitude larger than previous study using QCD factorization approach due to the same mechanism. That is ${\cal BR}(\bar B^0_d\to\phi\gamma)\simeq 1 \times 10^{-11}$ and ${\cal BR}(B_s\to\rho\gamma) \sim 5\times 10^{-10}$ which might be detected at the future LHCb experiment. Because the contribution is purely negatively polarized, any indication of large longitudinal or positive polarization would be a clean signal for new physics