Charmless B decays to eta' and eta

Abstract

Exclusive charmless B decays to ${\eta }^{\prime }$ and $\eta$ are studied in the standard effective Hamiltonian approach. The effective coefficients that take into account nonfactorizable effects in external and internal W-emission amplitudes are fixed by experiment. Factorization is applied to the matrix elements of QCD, electroweak penguin operators and next-to-leading corrections to penguin Wilson coefficients, which are renormalization-scheme dependent, are included, but the resultant amplitude is renormalization-scheme and -scale independent. We show that the unexpectedly large branching ratio of $B^{\pm }\to {\eta }^{\prime }{K}^{\pm }$ measured by CLEO can be explained by the Cabibbo-allowed internal W-emission process $b\to c\bar{c}s$ followed by a conversion of the $c\bar{c}$ pair into the ${\eta }^{\prime }$ via gluon exchanges characterized by a decay constant of order -50 MeV. Implications are discussed. The mechanism of the transition $c\bar{c}\to {\eta }^{\prime }$, if correct, will enhance the decay rates of $B\to {\eta }^{\prime }{K}^{\ast }$ by more than an order of magnitude. However, it plays only a minor role to the rare decays $B\to {\eta }^{\prime }(\eta )\pi (\rho )$. The predicted branching ratio of $B^{\pm }\to \eta {\pi }^{\pm }$ for positive $\rho$ is marginally ruled out by experiment, indicating that the favored Wolfenstein parameter $\rho$ is negative.

13 pages, to appear in PLB. Main changes are: (i) CLEO data are updated, (ii) the dependence of the branching ratio on the strange quark mass and form factors is discussed, (iii) a new equation (24) is added, and (iv) many references are updated and new references are included

References in corpus (5)

• B to eta' + X and The QCD Anomaly
• CP Violation and the Role of Electroweak Penguins in Non-leptonic B Decays
• The Color-Octet intrinsic charm in ${\eta }^{\prime }$ and $B\to {\eta }^{\prime }X$ decays
• W-exchange and W-annihilation processes of B mesons
• Calculations of penguin diagrams in B decays

Cited by in corpus (35)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Quark structure of pseudoscalar mesons
• Charmless Hadronic Two-body Decays of B_u and B_d Mesons
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• Charmless Final States and S--D-wave mixing in the ${\psi }^{\prime \prime }$
• Contribution of $b\to sgg$ through the QCD anomaly in exclusive decays $B^{\pm }\to ({\eta }^{\prime },\eta )(K^{\pm },K^{\ast \pm })$ and $B^0\to ({\eta }^{\prime },\eta )(K^0,K^{\ast 0})$
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Nonfactorizable Effects in Spectator and Penguin Amplitudes of Hadronic Charmless B Decays
• Two-Body Charmless B Decays Involving eta and eta'
• Final-State Phases in Charmed Meson Two-Body Nonleptonic Decays
• Observation of High Momentum ${\eta }^{\prime }$ Production in B Decay
• On the ${\eta }^{\prime }$ Gluonic Admixture
• On Large Final-State Phases in Heavy Meson Decays
• Measurement of Gamma(phi -> eta' gamma)/Gamma(phi -> eta gamma) and the pseudoscalar mixing angle
• Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors
• $B\to \eta ({\eta }^{\prime })K(\pi )$ in the Standard Model with Flavor Symmetry
• A supersymmetric resolution of the anomaly in charmless nonleptonic $B$-decays
• Determination of the $\eta$ and ${\eta }^{\prime }$ Mixing Angle from the Pseudoscalar Transition Form Factors
• Intrinsic charm of light mesons and CP violation in heavy quark decay
• Charming penguin contributions to charmless B decays into two pseudoscalar mesons
• Penguin decays of B mesons
• Direct CP Violation in Λ_b -> n (Λ)π^+π^- Decays via ρ-ωMixing
• Electromagnetic Transition Form Factor of Pseudoscalar Meson and $\eta -{\eta }^{\prime }$ Mixing
• An Analysis of the Inclusive Decay ${\rm Y}(1S)\to {\eta }^{\prime }X$ and Constraints on the ${\eta }^{\prime }$-Meson Distribution Amplitudes
• Flavor SU(3) Symmetry and Factorization in B Decays to Two Charmless Vector Mesons
• Mixing and decay constants of pseudoscalar mesons: Octet-singlet vs. quark flavor basis
• Two body decays of the $b$-quark: Applications to direct CP violation, searches for electro-weak penguins and new physics
• Charmless hadronic B decays and the recent CLEO data
• Heavy Baryonic Decays of Λ_b \to Λη^{(\prime)} and Nonspectator Contribution
• Further Analysis of $B\to {\eta }^{\prime }K(K^{\ast }),\eta K(K^{\ast })$ Processes
• B decays into two light pseudoscalar mesons and possible effects of enhanced b --> s g
• On the Role of Charm in Decay of B-mesons to η' K
• Tetramixing of vector and pseudoscalar mesons: A source of intrinsic quarks
• $\eta -{\eta }^{\prime }$ mixing and the next-to-leading-order power correction
• Novel insights into the $\gamma {\gamma }^{\ast }\to {\pi }^0$ transition form factor