Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-04-08
Chin.Phys.C34:1680-1686,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
12page,5figures
Scientific paper
10.1088/1674-1137/34/11/002
We calculate the branching ratio of $B\to J/\Psi\pi^{0}$ with a mixed formalism that combines the QCD-improved factorization and the perturbative QCD approaches. The result is consistent with experimental data. The quite small penguin contribution in $B\to J/\Psi\pi^{0}$ decay can be calculated with this method. We suggest two methods to extract the weak phase $\beta$. One is through the dependence of the mixing induced CP asymmetry $S_{J/\Psi\pi^{0}}$ on the weak phase$\beta$, the other is from the relation of the total asymmetry $A_{CP}$ with the weak phase $\beta$. Our result shows that the deviation $ \bigtriangleup S_{J/\psi\pi^0}$ of the mixing induced CP asymmetry from $Sin(-2\beta)$ is of $ \mathcal{O}(10^{-3})$ and has much less uncertainty. The above $ \mathcal{O}(10^{-3})$ deviation can provide a good reference for identifying new physics.
Du Dong-Sheng
Li Jing-Wu
Wu Xiang-Yao
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