Final State Interactions and New Physics in B -> pi K Decays

Abstract

Within the Standard Model, and if one assumes that soft rescattering effects are negligible, the CP asymmetry A^dir_CP (B^\pm -> π^\pm K) is predicted to be very small and the ratio R = BR(B_d -> π^\mp K^\pm)/BR(B^\pm -> π^\pm K) provides a bound on the angle γof the unitarity triangle, sin^2 γ\leq R. We estimate the corrections from soft rescattering effects using an approach based on Regge phenomenology, and find effects of order 10% with large uncertainties. In particular, we conclude that A^dir_CP \sim 0.2 and sin^2 γ\sim 1.2 R could not be taken unambiguously to signal New Physics. Using SU(3) relations, we suggest experimental tests that could constrain the size of the soft rescattering effects thus reducing the related uncertainty. Finally, we study the effect of various models of New Physics on A^dir_CP and on R.

20 pages, RevTex, no figures; a few typos corrected, references added, brief additional discussion of uncertanties is added

References in corpus (7)

• Charming Penguins in B decays
• Consequences of a U(2) Flavour Symmetry
• CP Violating B Decays in the Standard Model and Supersymmetry
• Penguins, Trees and Final State Interactions in B Decays in Broken SU3
• CP Violation in B Decays from Anomalous tbW Interactions
• New Mechanism of Flavor Symmetry Breaking from Supersymmetric Strong Dynamics
• High Energy Hadronic Total Cross-Sections

Cited by in corpus (82)

• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Final State Interactions in Hadronic B Decays
• Anatomy of Prominent B and K Decays and Signatures of CP-Violating New Physics in the Electroweak Penguin Sector
• 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
• Charming Penguins Strike Back
• $B^{-}\to K^{-}{\chi }_{c0}$ decay from charmed meson rescattering
• The Possibility of Large Direct CP Violation in B to K pi-Like Modes Due to Long Distance Rescattering Effects and Implications for the Angle gamma
• 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
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• Combining CP Asymmetries in $B\to K\pi$ Decays
• $B_{s,d}\to \pi \pi ,\pi K,KK$: Status and Prospects
• 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
• Final state interaction phase in B 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
• Possible resolution of the B -> pi pi, pi K puzzles
• Implications of CP Asymmetry Limits for $B\to K\pi$ and $B\to \pi \pi$
• Constraints on the phase $\gamma$ and new physics from $B\to K\pi$ Decays
• Final State Rescattering and Color-suppressed \bar B^0-> D^{(*)0} h^0 Decays
• New Information on B Decays to Charmless VP Final States
• General Analysis of New Physics in $B\to J/\psi K$
• Exploring New Physics in the $B\to \varphi K$ System
• Rescattering Information from $B\to K\bar{K}$ Decays
• Searching for New Physics in Non-Leptonic B Decays
• Controlling Rescattering Effects in Constraints on the CKM Angle $\gamma$ arising from $B\to \pi K$ Decays
• Convention-independent study of CP-violating asymmetries in $B\to \pi \pi$
• Implications of CP Asymmetries in $B\to {\pi }^{+}{\pi }^{-}$
• Final State Interactions in $D^0\to K^0\overline{K^0}$
• Intrinsic charm of light mesons and CP violation in heavy quark decay
• Penguin Topologies, Rescattering Effects and Penguin Hunting with $B_{u,d}\to K\bar{K}$ and $B^{\pm }\to {\pi }^{\pm }K$
• Penguin decays of B mesons
• Measuring gamma cleanly with CP-tagged Bs and Bd decays
• Effects of R-parity violation on direct CP violation in B decays and extraction of $\gamma$
• Implications of a Low sin(2 beta): A Strategy for Exploring New Flavor Physics
• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• Electroweak penguin amplitudes and constraints on $\gamma$ in charmless $B\to VP$ decays
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• 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
• Systematic Study on QCD Interactions of Heavy Mesons with $\rho$ Meson
• Experimental Puzzles in Heavy Flavor Decays - Anomalously high ${\eta }^{\prime }$ appearance in charmless strange B decays - Flavor SU(3) breaking in Charm Decays
• 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
• A Critical Look at Rescattering Effects on $\gamma$ from $B^{+}\to K\pi$
• Long-range two-body final-state interactions and direct CP asymmetry in {B}^{+}\toπ^{+} {K}^{0} decay
• Evidence for B+ -> K0barK+ and B0 -> K0K0bar, and Measurement of the Branching Fraction and Search for Direct CP Violation in B+ -> K0pi+
• Weak phases $\gamma$ and $\alpha$ from $B^{+}$, or $B^0$ and $B_s$ decays
• B Physics - A Theoretical Review
• CKM Phases from CP Asymmetries
• B decays into two light pseudoscalar mesons and possible effects of enhanced b --> s g
• Using the value of beta to help determine gamma from B decays
• Final State Interactions and Delta S=-1, Delta C=\pm 1 B--decays
• Dispersion Relations and Rescattering Effects in B Nonleptonic Decays
• CP Tagged Decays at SuperBaBar
• Heavy Quark Effective Theory and Inclusive B Decays
• Rescattering and electroweak penguin effects in determinations of the weak phase $\gamma$
• Complete analysis of all $B\to \pi K$ decays
• Elastic and inelastic SU(3)-breaking final-state interactions in B decays to pseudoscalar mesons
• Final state phases in B -> Dπ, \bar{D}πdecays and CP-asymmetry
• Flavor Physics and the CKM Matrix: An Overview
• Status and Prospects of CKM Phase Determinations
• Implications of final state interactions in B-decays
• CP-Violation in B_{q} Decays and Final State Strong Phases
• Annihilation Contributions and CP Asymmetries in $B^{+}\to {\pi }^{+}{K}^0,K^{+}{K}^0$ and $B^0\to K^0{\bar{K}}^0$
• Sum rules for B-->pi eta('), K eta('), eta(') eta(') decays
• Improvements to the Method of Dispersion Relations for B Nonleptonic Decays
• Light Rays of New Physics: CP Violation in B -> Xs gamma Decays
• Lattice QCD and heavy quarks
• Studying High Energy Final State Interactions by N/D Method
• Inelastic final-state interaction