Implications of the recent measurement of pure annihilation $B_s\to {\pi }^{+}{\pi }^{-}$ decays in QCD factorization

Abstract

The CDF 3.7 sigma evidence of pure annihilation $B_s\to {\pi }^{+}{\pi }^{-}$ decays, if confirmed, would imply a large annihilation scenario in the QCD factorization approach. This is somewhat unexpected as the large annihilation scenario was disfavored in previous studies. In this paper we reinvestigate the role of annihilation topology in QCD factorization. We find that it is not easy to reach the CDF central value of $B_s\to {\pi }^{+}{\pi }^{-}$ decays when other decay channels are considered. Our analysis also reveals that, for well-measured charmless B decays into two final pseudoscalar mesons, the QCD factorization predictions with large annihilation parameters show good agreement with the experimental data except $B_s\to K^{+}{K}^{-}$ and $B_d\to K^0{\bar{K}}^0$ decays. Though other possibilities can not be excluded, this may indicate that the SU(3) flavor symmetry breaking should be taken into account for the annihilation topology. In addition, there are different annihilation topologies, so that somewhat different annihilation parameters may be chosen for different final states and different annihilation topologies. If so, the predictive power of the QCD factorization method may be rather limited for many decay channels.

11 pages, 3 figures, accepted for publication in Phys. Lett. B

References in corpus (7)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Branching fractions, polarisation and asymmetries of B -> VV decays
• Light-cone sum rules for $B\to \pi$ form factors revisited
• B, Bs -> K form factors: an update of light-cone sum rule results
• Penguins with Charm and Quark-Hadron Duality
• Power Corrections in Charmless Nonleptonic B-Decays: Annihilation is Factorizable and Real
• Resolving B-CP Puzzles in QCD Factorization

Cited by in corpus (19)

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• Evidence for the charmless annihilation decay mode $B_s^0\to {\pi }^{+}{\pi }^{-}$
• Spectator Scattering and Annihilation Contributions as a Solution to the $\pi K$ and $\pi \pi$ Puzzles within QCD Factorization Approach
• A Combined Fit on the Annihilation Corrections in $B_{u,d,s}$ $\to$ $PP$ Decays Within QCDF
• Flavor dependence of annihilation parameters in QCD factorization
• Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$-meson decays
• Study of $CP$ Violation in $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ and $B^{-}\to K^{-}\sigma (600)$ decays in the QCD factorization approach
• Revisiting the Annihilation Corrections in Non-leptonic ${\bar{B}}_s^0$ Decays within QCD Factorization
• Constraints on hard spectator scattering and annihilation corrections in $B_{u,d}$ $\to$ $PV$ decays within QCD factorization
• Enhanced Next-to-Leading-Order Corrections to Weak Annihilation $B$-Meson Decays
• Nonleptonic charmless decays of $B_c\to TP,TV$ in the perturbative QCD approach
• Probing Spectator Scattering and Annihilation Corrections in $B_s$ $\to$ $PV$ Decays
• Study of the weak annihilation contributions in charmless $B_s\to VV$ decays
• Fits of Weak Annihilation and Hard Spectator Scattering Corrections in $B_{u,d}\to VV$ Decays
• Study of $CP$ Violations in $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ and $B^{-}\to K^{-}{f}_0(500)$ decays in the QCD factorization approach
• CP violation in the interference between $\rho (770{)}^0$ and $S$-wave in $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ decays and its implication for CP asymmetry in $B^{\pm }\to {\rho }^0{\pi }^{\pm }$
• Pure annihilation decays of $B_s^0\to a_0^{+}{a}_0^{-}$ and $B_d^0\to K_0^{\ast +}{K}_0^{\ast -}$ in the PQCD approach
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach