Reexamining $B\to \pi \pi ,\pi K$ Decays in QCD Factorization Approach

Abstract

Motivated by the recent experimental data, we have revisited the $B\to \pi K,\pi \pi$ decays in the framework of QCD factorization, with inclusion of the important strong penguin corrections of order ${\alpha }_s^2$ induced by $b\to D{g}^{\ast }{g}^{\ast }$ ($D=d$ or $s$ and $g^{\ast }$ denotes an off-shell gluon) transitions. We find that these higher order strong penguin contributions can provide $\sim 30$ enhancement to the penguin-dominated $B\to \pi K$ decay rates, and such an enhancement can improve the consistency between the theoretical predictions and the experimental data significantly, while for the tree-dominated $B\to \pi \pi$ decays, these higher order contributions play only a minor role. When these strong penguin contributions are summed, only a small strong phase remains and the direct CP asymmetries get small corrections. We also find patterns of the ratios between the CP-averaged branching fractions remain nearly unaffected even after including these higher order corrections and the $\pi K$ puzzle still persists. Our results may indicate that to resolve the puzzle one would have to resort to new physics contributions in the electroweak penguin sector as found by Buras {\it et al}.

43 pages, 19 eps figures. Typos corrected. Final version published in PRD72, 074007(2005)

References in corpus (13)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Direct CP Violating Asymmetry in B0 -> K+pi- Decays
• Non-factorizable Contributions to $B\to \pi \pi$ Decays
• Evidence for Direct CP Violation in B0 -> K+- pi-+ Decays
• The B -> pi K Puzzle and New Physics
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• Large electroweak penguin contribution in B -> K pi and pi pi decay modes
• Weak phases from the $B\to \pi \pi$, $K\pi$ decays
• Implications of Charmless B Decays with Large Direct CP Violation
• Observation of B0->pi0pi0
• Branching Fractions and CP Asymmetries in B0 -> pi0pi0, B+ -> pi+pi0 and B+ -> K+pi0 Decays and Isospin Analysis of the B -> pipi System
• Improved Measurements of Partial Rate Asymmetry in B -> h h Decays

Cited by in corpus (25)

• Resolution to the B -> pi K puzzle
• Spectator scattering at NLO in non-leptonic B decays: Tree amplitudes
• Evidence for Direct CP Violation from Dalitz-plot analysis of B+/- -> K+/- pi+/- pi-/+
• Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
• Quasi-two-body decays $B_{(s)}\to P\rho \to P\pi \pi$ in perturbative QCD approach
• Two-body non-leptonic heavy-to-heavy decays at NNLO in QCD factorization
• Nonuniversal $Z^{\prime }$ couplings in B decays
• Constraints on the nonuniversal Z^\prime couplings from B\toπK, πK^{\ast} and ρK Decays
• Flavor SU(3) analysis of charmless B meson decays to two pseudoscalar mesons
• Exclusive B-> M ν\barν (M= π, K, ρ, K^*) Decays and Leptophobic Z^\prime Model
• Searching for New Physics in b to s Hadronic Penguin Decays
• B physics constraints on a flavor symmetric scalar model to account for the ttbar asymmetry and Wjj excess at CDF
• The $B\to K\pi$ Puzzle and Supersymmetric Models
• The puzzles in $B\to \pi \pi$ and $\pi K$ decays: possible implications for R-parity violating supersymmetry
• Analytic Resolution of Puzzle in $B\to K\pi$ decays
• New physics in $B\to \pi \pi$ and $B\to \pi K$ decays
• Constraints on the anomalous tensor operators from B\toϕK^{\ast}, ηK^{\ast}$ and ηK decays
• Nonleptonic charmless decays of $B_c\to TP,TV$ in the perturbative QCD approach
• Hadronic B decays
• Reinvestigating the $B$ $\to$ $PP$ decays by including the contributions from ${\varphi }_{B2}$
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• Implications of new data in charmless B decays
• Reexamining charmless B\to PV decays in QCD factorization approach
• Investigation of $B_{u,d}\to (\pi ,K)\pi$ decays within unparticle physics
• A solution to B --> pi pi puzzle and B --> K K