Probing new physics in $B\to J/\Psi\pi^0$ decay

TL;DR

This paper calculates the branching ratio and CP asymmetries of B to J/psi pi0 decays using a combined QCD approach, providing precise predictions that can help identify potential new physics beyond the Standard Model.

Contribution

It introduces a mixed formalism combining QCD-improved factorization and perturbative QCD to accurately compute decay processes and CP asymmetries, with implications for new physics detection.

Findings

Branching ratio consistent with experimental data

Deviation in CP asymmetry of order 10^{-3}

Reduced uncertainty in CP asymmetry measurement

Abstract

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.