Study on pure annihilation type B to V gamma decays

Abstract

We investigate the pure annihilation type radiative $B$ meson decays $B^0\to \varphi \gamma$ and $B_s\to {\rho }^0(\omega )\gamma$ in the soft-collinear effective theory. We consider three types of contributions to the decay amplitudes, including the direct annihilation topology, the contribution from the electro-magnetic penguin operator and the contribution of the neutral vector meson mixings. The numerical analysis shows that the decay amplitudes are dominated by the $\omega -\varphi$ mixing effect in the $B^0\to \varphi \gamma$ and $B_s\to \omega \gamma$ modes. The corresponding decay branching ratios are enhanced about three orders of magnitudes relative to the pure annihilation type contribution in these two decay channels. The decay rate of $B_s\to {\rho }^0\gamma$ is much smaller than that of $B_s\to \omega \gamma$ because of the smaller ${\rho }^0-\varphi$ mixing. The predicted branching ratios $B(B^0\to \varphi \gamma )=(3.99_{-1.46}^{+1.67})\times 10^{-9},B(B_s\to \omega \gamma )=(2.01_{-0.71}^{+0.81})\times 10^{-7}$ are to be tested by the Belle-II and LHC-b experiments.

radiative decay, annihilation topology, vector meson mixing

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