$B^0\to \varphi \varphi$ Decay in Perturbative QCD Approach

Abstract

The rare decay $B^0\to \varphi \varphi$ can occur only via penguin annihilation topology in the standard model. We calculate this channel in the perturbative QCD approach. The predicted branching ratio is very small at ($10^{-8}$). We also give the polarization fractions, which shows that the transverse polarization contribution is comparable to the longitudinal one, due to a big transverse contribution from factorizable diagrams. The small branching ratio in SM, makes it sensitive to any new physics contributions.

13 pages, 1 figures

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