Final State Interactions in Hadronic B Decays

Abstract

There exist many experimental indications that final-state interactions (FSIs) may play a prominent role not only in charmful B decays but also in charmless B ones. We examine the final-state rescattering effects on the hadronic B decay rates and their impact on direct CP violation. The color-suppressed neutral modes such as $B^0\to D^0{\pi }^0,{\pi }^0{\pi }^0,{\rho }^0{\pi }^0,K^0{\pi }^0$ can be substantially enhanced by long-distance rescattering effects. The direct CP-violating partial rate asymmetries in charmless B decays to $\pi \pi /\pi K$ and $\rho \pi$ are significantly affected by final-state rescattering and their signs are generally different from that predicted by the short-distance approach. For example, direct CP asymmetry in $B^0\to {\rho }^0{\pi }^0$ is increased to around 60% due to final state rescattering effects whereas the short-distance picture gives about 1%. Evidence of direct CP violation in the decay ${\bar{B}}^0\to K^{-}{\pi }^{+}$ is now established, while the combined BaBar and Belle measurements of ${\bar{B}}^0\to {\rho }^{\pm }{\pi }^{\mp }$ imply a $3.6\sigma$ direct CP asymmetry in the ${\rho }^{+}{\pi }^{-}$ mode. Our predictions for CP violation agree with experiment in both magnitude and sign, whereas the QCD factorization predictions seem to have some difficulty with the data. Current data on $\pi K$ modes seem to violate the isospin sum rule relation, suggesting the presence of electroweak penguin contributions. We have also investigated whether a large transverse polarization in $B\to \varphi K^{\ast }$ can arise from the final-state rescattering of $D^{(\ast )}{\bar{D}}_s^{(\ast )}$ into $\varphi K^{\ast }$.

59 pages, 9 figures. Numerical results for B to phi K* are revised, while conclusion remains unchanged. Add several references. To appear in Phys. Rev. D

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• The Riddle of Polarization in $B\to VV$ Transitions
• Final state interactions for B => VV charmless decays
• Measurement of the B0->PhiK*0 Decay Amplitudes
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• Phenomenological Analysis of the Decay $B^{\pm}\to K^{\pm} p {\bar p}
• Measurement of the branching fractions and longitudinal polarisations of $B_{(s)}^0\to K^{\ast 0}\overline{K}{}^{\ast 0}$ decays
• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond
• Theory of hadronic B decays
• B -> pi pi decays
• The nonleptonic decays of double-charmed baryon ${\Omega }_{cc}^{+}$ within the nonrelativistic quark model
• Prospects for observing the missing $2D$ and $1F$ charmonium states around 4 GeV
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$
• Proposed mixing between $2P$ and $1F$ wave charmonia
• Medium modifications of $1P$-wave charmonia ${\chi }_{cJ}(1P)$ in cold nuclear matter
• Hidden-bottom hadronic decays of ${\rm Y}(10753)$ with a ${\eta }^{(\prime )}$ or $\omega$ emission
• Open charm scenarios
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays
• Constraining Charming Penguins in Charmless B Decays
• Towards the decays of ${\bar{N}}_X(1625)$ in the molecular picture