Effects of Final-state Interactions on Mixing-induced CP Violation in Penguin-dominated B Decays

Abstract

Motivated by the recent indications of the possibility of sizable deviations of the mixing-induced CP violation parameter, $S_f$, in the penguin-dominated $b\to sq\bar{q}$ transition decays such as $B^0\to (\varphi ,\omega ,{\rho }^0,{\eta }^{\prime },\eta ,{\pi }^0,f_0)K_S$ from $\sin 2\beta$ determined from $B\to J/\psi K_S$, we study final-state rescattering effects on their decay rates and CP violation. Recent observations of large direct CP asymmetry in modes such as $B^0\to K^{+}{\pi }^{-},{\rho }^{-}{\pi }^{+}$ means that final state phases in 2-body B decays may not be small. It is therefore important to examine these long-distance effects on penguin-dominated decays. Such long-distance effects on $S_f$ are found to be generally small [i.e. $\mathcal{O}(1-2$] or negligible except for the $\omega K_S$ and ${\rho }^0{K}_S$ modes where $S_f$ is lowered by around 15% for the former and increased by the same percentage for the latter. However, final-state rescattering can enhance the $\omega K_S,\varphi K_S,{\eta }^{\prime }{K}_S,{\rho }^0{K}_S$ and ${\pi }^0{K}_S$ rates significantly and flip the signs of direct CP asymmetries of the last two modes. Direct CP asymmetries in $\omega K_S$ and ${\rho }^0{K}_S$ channels are predicted to be $\A_{ωK_S}\approx -0.13$ and $\A_{ρ^0K_S}\approx 0.47$, respectively. However, direct CP asymmetry in all the other $b\to s$ penguin dominated modes that we study is found to be rather small (a few percents), rendering these modes a viable place to search for the CP-odd phases beyond the standard model.

arXiv comment23 pages, 1 figure. Table I is updated with the new Belle measurements. Detailed discussions on theoretical uncertainties are given and their numerical estimates are included in Tables II-V. CP asymmetries in the modes ρ^0 K_S and ηK_S are also discussed. We clarify and stress that merging with QCDF does not cause a double counting problem

References in corpus (37)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Phenomenology of Heavy Meson Chiral Lagrangians
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Mixing and Decay Constants of Pseudoscalar Mesons
• Final State Interactions in Hadronic B Decays
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• CP Asymmetries in B Decays with New Physics in Decay Amplitudes
• Flavor-Singlet B-Decay Amplitudes in QCD Factorization
• Charming penguins in B => K* pi, K (rho,omega,phi) decays
• Charming Penguins in B decays
• Measuring the CP Angle βin Hadronic b\to s Penguin Decays
• First Measurement of $\Gamma (D\ast +)$
• SU(3) Relations and the CP Asymmetries in B Decays to ${\eta }^{\prime }{K}_S$, $\varphi K_S$ and $K^{+}{K}^{-}{K}_S$
• Improved Measurement of CP Asymmetries in B0 -> (ccbar)K0(*) Decays
• Enhanced $b\to sg$ Decay, Inclusive ${\eta }^{\prime }$ Production, and the Gluon Anomaly
• Hadronic D Decays Involving Scalar Mesons
• CP Asymmetry in B_d --> phi K_S: Standard Model Pollution
• Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays
• Improved Measurement of CP-Violation Parameters sin(2phi1) and |lambda|, B Meson Lifetimes, and B0-B0bar Mixing Parameter Delta m_d
• Phenomenological Analysis of Charmless Decays B-->PV with QCD Factorization
• Charming-penguin enhanced B decays
• Measurements of Branching Fractions and Time-Dependent CP-Violating Asymmetries in B to eta' K Decays
• $B\to f_0(980)K$ Decays and Subleading Corrections
• Correlated bounds on CP asymmetries in $B^0\to {\eta }^{\prime }{K}_S$
• Charming penguin contributions to B => K π
• Desperately Seeking Non-Standard Phases via Direct CP Violation in $b\to s{g}^{\ast }$ Process
• Interpreting the time-dependent CP asymmetry in $B^0\to {\pi }^0{K}_S$
• Scalar sigma meson effects in rho and omega decays into pi0 pi0 gamma
• Can the CP asymmetries in $B\to \psi K_S$ and $B\to \psi K_L$ differ?
• Charming penguin contributions to charmless B decays into two pseudoscalar mesons
• Determination of hadronic partial widths for scalar-isoscalar resonances f0(980), f0(1300), f0(1500), f_0(1750) and the broad state f0(1530^{+90}_{-250})
• Measurements of the Branching Fraction and CP-Violation Asymmetries in B^0-->f0(980)Ks
• Search for New Physics at a Super-B Factory

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