Rescattering Effects, Isospin Relations and Electroweak Penguins in B -> pi K Decays

Abstract

It is argued that, in the presence of soft final-state interactions, the diagrammatic amplitude approach adopted in many analyses of hadronic B decays into light mesons can be misleading when used to deduce the unimportance of certain decay topologies. With the example of B -> pi K decays, it is shown that the neglect of so-called annihilation and colour-suppressed amplitudes (including electroweak penguins), as well as penguin contributions involving an up-quark loop, is not justified. The implications for the Fleischer-Mannel bound on the angle gamma of the unitarity triangle, and for the CP asymmetry in the decays B^+- -> pi^+- K^0, are pointed out.

11 pages; numerical error in the evaluation of electroweak penguin contributions removed, eqs.(19) and (20) corrected, 1 reference added

Cited by in corpus (65)

• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Direct CP Violation in B -> X_s gamma Decays as a Signature of New Physics
• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• New Bound on gamma from B^+- -> pi K Decays
• Model-independent electroweak penguins in B decays to two pseudoscalars
• CP-Violating Asymmetries in Charmless Non-Leptonic Decays $B\to PP,PV,VV$ in the Factorization Approach
• $B^{-}\to K^{-}{\chi }_{c0}$ decay from charmed meson rescattering
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• Non-Leptonic Two-Body B Decays Beyond Factorization
• U-Spin Symmetry in Charmless B Decays
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Taming the Penguin in the B0(t) -> Pi+Pi- CP-asymmetry: Observables and Minimal Theoretical Input
• Topological amplitudes in $D$ decays to two pseudoscalars: a global analysis with linear $SU(3{)}_F$ breaking
• Combining CP Asymmetries in $B\to K\pi$ Decays
• Fourth Generation CP Violation Effect on B -> K pi, phi K and rho K in NLO PQCD
• Extracting CKM Phases from Angular Distributions of $B_{d,s}$ Decays into Admixtures of CP Eigenstates
• Final state interaction and $B\to KK$ decays in perturbative QCD
• Weak phases from the $B\to \pi \pi$, $K\pi$ decays
• Final-State Phases in Charmed Meson Two-Body Nonleptonic Decays
• Electroweak Penguins, Final State Interaction Phases and CP Violatioin in $B\to K\pi$ Decays
• Exploring CP Violation through Correlations in B --> pi K, B_d --> pi^+pi^-, B_s --> K^+K^- Observable Space
• On Large Final-State Phases in Heavy Meson Decays
• Phenomenological Analysis of B->PP Decays with QCD Factorization
• Constraints on the phase $\gamma$ and new physics from $B\to K\pi$ Decays
• General Analysis of New Physics in $B\to J/\psi K$
• Rescattering Information from $B\to K\bar{K}$ Decays
• Exploring New Physics in the $B\to \varphi K$ System
• Charmless decays B->pipi, piK and KK in broken SU(3)symmetry
• Searching for New Physics in Non-Leptonic B Decays
• B_s -> phi rho^0 and B_s -> phi pi^0 as a handle on isospin-violating New Physics
• CP Violation in B_d \to D^+D^-, D^{*+}D^-, D^+D^{*-} and D^{*+}D^{*-} Decays
• Implications of Recent ${\bar{B}}^0\to D^{(\ast )0}{X}^0$ Measurements
• Convention-independent study of CP-violating asymmetries in $B\to \pi \pi$
• Implications of CP Asymmetries in $B\to {\pi }^{+}{\pi }^{-}$
• Intrinsic charm of light mesons and CP violation in heavy quark decay
• Charming penguin contributions to charmless B decays into two pseudoscalar mesons
• Penguin Topologies, Rescattering Effects and Penguin Hunting with $B_{u,d}\to K\bar{K}$ and $B^{\pm }\to {\pi }^{\pm }K$
• Electroweak penguin amplitudes and constraints on $\gamma$ in charmless $B\to VP$ decays
• Graphical amplitudes from SCET
• Recent Theoretical Developments in CP Violation in the B System
• Towards Extractions of the CKM Angle $\gamma$ from $B_{u,d}\to \pi K$ and Untagged $B_s\to K\bar{K}$ Decays
• Weak phases from topological-amplitude parametrization
• Determining the Weak Phase $\gamma$ in the Presence of Rescattering
• Extracting information on CKM phases, electro-weak penguins and new physics from B --> VV decays
• Bounding the penguin effects on determinations of $\alpha$ from $B^0(t)\to {\pi }^{+}{\pi }^{-}$ decays
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Long-range two-body final-state interactions and direct CP asymmetry in {B}^{+}\toπ^{+} {K}^{0} decay
• A Critical Look at Rescattering Effects on $\gamma$ from $B^{+}\to K\pi$
• Weak Annihilation Topologies and Final State Interactions in D -> PP Decays
• Coupled-Channel Final-State Interactions through Reggeon Exchange for D(B) --> ππ, K \bar{K}
• Charming penguins in B -> PP decays and the extraction of gamma
• Model-independent information on gamma from B^+- -> pi K Decays
• B decays into two light pseudoscalar mesons and possible effects of enhanced b --> s g
• Dispersion Relations and Rescattering Effects in B Nonleptonic Decays
• Complete analysis of all $B\to \pi K$ decays
• Rescattering and electroweak penguin effects in determinations of the weak phase $\gamma$
• Zweig-rule-satisfying inelastic rescattering in B decays to pseudoscalar mesons
• Determining the Weak Phase $\gamma$ using the decays $B_d$, $B^{+}\to K\eta ({\eta }^{\prime })$ and $B_s\to \pi \eta ({\eta }^{\prime })$
• Elastic and inelastic SU(3)-breaking final-state interactions in B decays to pseudoscalar mesons
• Light Rays of New Physics: CP Violation in B -> Xs gamma Decays
• Sum rules for B-->pi eta('), K eta('), eta(') eta(') decays
• Lattice QCD and heavy quarks
• Probing the CKM Angle $\gamma$ with $B\to \pi K$ Decays