Branching Ratio and CP Asymmetry of $B\to \pi {\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach

Abstract

We calculate the branching ratios and CP-violating asymmetries for $B^0\to {\pi }^0{\eta }^{(\prime )}$ and $B^{+}\to {\pi }^{+}{\eta }^{(\prime )}$ decays in the perturbative QCD (pQCD) factorization approach here. We not only calculate the usual factorizable contributions, but also evaluate the non-factorizable and annihilation type contributions. Besides the current-current operators, the contributions from the QCD and electroweak penguin operators are also taken into account. The pQCD results for the CP-averaged branching ratios are $Br(B^{+}\to {\pi }^{+}\eta )\approx 4.1\times 10^{-6}$, $Br(B^{+}\to {\pi }^{+}{\eta }^{\prime })\approx 2.4\times 10^{-6}$, and $Br(B^0\to {\pi }^0{\eta }^{(\prime )})\approx 0.2\times 10^{-6}$, which agree very well with the measured values or currently available experimental upper limits. We also predict large CP-violating asymmetries in these decays: $A_{CP}^{dir}(π^\pm \etap)\sim A_{CP}^{dir}(π^0 \etap)\sim -0.35 $, and $A_{CP}^{mix}(π^0 \etap)\sim 0.67$, but with large errors. The pQCD prediction for $A_{CP}^{dir}({\pi }^{\pm }\eta )$ ($A_{CP}^{dir}({\pi }^{\pm }{\eta }^{\prime }))$ has the same (opposite) sign with the primary measured values. Further improvements in both theory and experiments are needed to clarify this discrepancy.

28 pages, 8 figures, several typos corrected

References in corpus (56)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Weak Decays Beyond Leading Logarithms
• 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
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Fat penguins and imaginary penguins in perturbative QCD
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Exclusive Semileptonic and Rare B-Meson Decays in QCD
• Asymptotics of Heavy-Meson Form Factors
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• B->pi and B->K Transitions from QCD Sum Rules on the Light-Cone
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Flavor-Singlet B-Decay Amplitudes in QCD Factorization
• B to light meson transition form factors calculated in perturbative QCD approach
• Resolution to the B -> pi K puzzle
• Threshold resummation for exclusive B meson decays
• Present Status of Inclusive Rare B Decays
• $B\to \pi \rho$, $\pi \omega$ Decays in Perturbative QCD Approach
• Factorization theorems, effective field theory, and nonleptonic heavy meson decays
• Three-Scale Factorization Theorem and Effective Field Theory
• CP-Violating Asymmetries in Charmless Non-Leptonic Decays $B\to PP,PV,VV$ in the Factorization Approach
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Nonfactorizable contributions to $B\to D^{(\ast )}M$ decays
• Perturbative QCD analysis of $B\to \varphi K$ decays and Power counting
• Branching ratio and CP asymmetry of $B_s\to {\pi }^{+}{\pi }^{-}$ decays in the perturbative QCD approach
• Perturbative QCD analysis of $B\to \varphi K^{\ast }$ decays
• Nonfactorizable soft gluons in nonleptonic heavy meson decays
• Phenomenological Analysis of Charmless Decays B-->PV with QCD Factorization
• Perturbative QCD factorization of $\pi {\gamma }^{\ast }\to \gamma (\pi )$ and $B\to \gamma (\pi )l\bar{\nu }$
• Phenomenological Analysis of Charmless Decays Bs->PP,PV with QCD Factorization
• Possible Large Direct CP Violations in Charmless B-Decays
• Final state interaction and $B\to KK$ decays in perturbative QCD
• B -> K eta(') decay in perturbative QCD
• B Meson Decays to eta(')K*, eta(')rho,eta(')pi0, omegapi0, and phipi0
• On the ${\eta }^{\prime }$ Gluonic Admixture
• Revisiting Charmless Two-Body B Decays involving ${\eta }^{\prime }$ and $\eta$
• Phenomenological Analysis of B->PP Decays with QCD Factorization
• Search for New Physics Using High Mass Tau Pairs from 1.96-TeV Proton-Antiproton Collisions
• Rare Decays $B^0\to D_s^{(\ast )+}{D}_s^{(\ast )-}$ and $B_s^0\to D^{(\ast )+}{D}^{(\ast )-}$ in Perturbative QCD Approach
• Study of pure annihilation type decays $B\to D_s^{\ast }K$
• Calculation of pure annihilation type decay $B^{+}\to D_s^{+}\varphi$
• Study of color suppressed modes $B^0\to {\bar{D}}^{(\ast )0}{\eta }^{(\prime )}$
• CP Asymmetry, Branching ratios and Isospin breaking effects in B-> rho gamma and B-> omega gamma decays with the pQCD approach
• Branching ratio and CP violation of $B_s\to \pi K$ decays in the perturbative QCD approach
• Understanding the penguin amplitude in $B\to \varphi K$ decays
• Polarization, CP Asymmetry and Branching ratios in B \to K^* K^* with Perturbative QCD approach
• $B^0\to \varphi \varphi$ Decay in Perturbative QCD Approach
• How well can we predict CP asymmetry in $B\to \pi \pi$, $K\pi$ decays?
• Limit on the B0->rho0rho0 Branching Fraction and Implications for the CKM Angle alpha
• Measurements of Branching Fractions and CP Asymmetries in B-> etah Decays
• Study Pure Annihilation Decays $B_s^0({\bar{B}}_s^0)\to D^{\pm }{\pi }^{\mp }$ in PQCD Approach

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• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
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• Composition of the Pseudoscalar Eta and Eta' Mesons
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• Possible resolution of the B -> pi pi, pi K puzzles
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• Branching Ratio and CP Asymmetry of $B\to \rho {\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Charmless Hadronic B-Meson Decays
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• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• Study of ${\bar{B}}_s^0\to (D_s^{+},D_s^{\ast +})l^{-}{\bar{\nu }}_l$ decays in the pQCD factorization approach
• Resolving B-CP Puzzles in QCD Factorization
• Hochschild homology, trace map and $\zeta$-cycles
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Light scalar mesons and charmless hadronic $B_c\to SP,SV$ decays in the perturbative QCD approach
• The NLO twist-3 contribution to the pion electromagnetic form factors in $k_T$ factorization
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• $B^0\to \omega {\eta }^{(\prime )}$ and $\varphi {\eta }^{(\prime )}$ decays in the perturbative QCD approach
• Branching Ratio and CP Asymmetry of $B_s\to {\pi }^0{\eta }^{(\prime )}$ Decays in the perturbative QCD Approach
• Gauge Invariance and k_T-Factorization of Exclusive Processes
• $B\to K{K}^{\ast }$ Decays in the Perturbative QCD Approach
• Observation of B->etarho+ and search for B0 Decays to eta'eta, etapi0, eta'pi0, and omegapi0
• Branching Fraction Limits for B0 Decays to eta' eta, eta' pi0 and eta pi0
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• NLO contributions to $B\to K{K}^{\ast }$ Decays in the pQCD approach
• Evidence for Direct CP Violation in $B^{\pm }\to \eta h^{\pm }$ and Observation of $B^0\to \eta K^0$
• Improved Measurements of Branching Fractions and CP Asymmetries in B-> eta h Decays
• The $\rho {\gamma }^{\ast }\to \pi (\rho )$ transition form factors in the Perturbative QCD factorization approach
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$
• Evidence for the decay B0->eta pi^0
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach