Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates

Abstract

The ratio of partial decay rates for charged and neutral $B$ mesons to $K\pi$ final states provides information on the weak phase $\gamma \equiv \mathrm{Arg}(V_{ub}^{\ast })$ when augmented with information on the CP-violating asymmetry in the $K^{\pm }{\pi }^{\mp }$ mode. The requirements for a useful determination of $\gamma$ are examined in the light of present information about the decays $B^0\to K^{+}{\pi }^{-}$, $B^{+}\to K^0{\pi }^{+}$, and the corresponding charge-conjugate modes. The effects of electroweak penguins and rescattering corrections are noted, and proposals are made for estimating and measuring their importance.

16 pages, latex, 3 figures, revised version sent to Phys. Rev. D

References in corpus (23)

• Decays of $B$ Mesons to Two Light Pseudoscalars
• ELECTROWEAK PENGUINS AND TWO-BODY B DECAYS
• Charming Penguins in B decays
• Broken SU(3) Symmetry in Two-Body B Decays
• Constraining the CKM angle $\gamma$ and penguin contributions through combined $B\to \pi K$ branching ratios
• Isospin Structure of Penguins And Their Consequences in $B$ Physics
• Systematics of soft final state interactions in $B$ decay
• Hadronic Penguin B Decays In The Standard And The Two-Higgs-Doublet Models
• Strategies for Fixing the CKM-angle $\gamma$ and Obtaining Experimental Insights into the World of Electroweak Penguins
• Final State Interactions and New Physics in B -> pi K Decays
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• Annihilation, Rescattering, and CP Asymmetries in B Meson Decays
• B Decays Involving $\eta$ and ${\eta }^{\prime }$ in the Light of the $B\to K{\eta }^{\prime }$ Process
• Limitations in Measuring the Angle $\beta$ by Using $SU(3)$ Relations for $B$-Meson Decay-Amplitudes
• Observation of Exclusive Two-Body B Decays to Kaons and Pions
• Amplitude relations for $B$ decays involving $\eta$ and ${\eta }^{\prime }$
• Determining the CKM Unitarity Triangle From $B$ Decays to Charged Pions and Kaons
• Determining the Weak Phase $\gamma$ From Charged $B$ Decays
• Unique Signature of Electroweak Penguin In Pure Hadronic $B$ Decays
• CP violation and CKM phases from angular distributions for $B_s$ decays into admixtures of CP eigenstates
• Weak Phases From B Decays to Kaons and Charged Pions
• Regge asymptotics and color suppressed heavy meson decays
• Discrete Ambiguities In Extracting Weak Phases from B decays

Cited by in corpus (66)

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• 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
• $B^{-}\to K^{-}{\chi }_{c0}$ 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
• U-Spin Symmetry in Charmless B Decays
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Improving bounds on $\gamma$ in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm ,0}\to D{X}_s^{\pm ,0}$
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• The Role of $B_s\to K\pi$ in Determining the Weak Phase $\gamma$
• Combining CP Asymmetries in $B\to K\pi$ Decays
• The B -> pi K Puzzle and its Relation to Rare B and K Decays
• $B_{s,d}\to \pi \pi ,\pi K,KK$: Status and Prospects
• Rates and Asymmetries in $B\to K\pi$ Decays
• The CP violating phase $\gamma$ from global fit of rare charmless hadronic B decays
• Large electroweak penguin contribution in B -> K pi and pi pi decay modes
• A Possibility of large electro-weak penguin contribution in B -> K pi modes
• CP Violating Lepton Asymmetries from B Decays and Their Implication for Supersymmetric Flavor Models
• Exploring CP Violation through Correlations in B --> pi K, B_d --> pi^+pi^-, B_s --> K^+K^- Observable Space
• New Bounds On The CKM Matrix From B -> K pi pi Dalitz Plot Analyses
• 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
• Weak phase $\gamma$ from color-allowed $B\to DK$ rates
• Improved method for CKM constraints in charmless three-body B and B_s decays
• New Information on B Decays to Charmless VP Final States
• The $b\to s$ penguin amplitude in charmless $B\to PP$ decays
• Rescattering Information from $B\to K\bar{K}$ Decays
• Searching for New Physics in Non-Leptonic B Decays
• The CKM suppressed $B(B_s)\to {\bar{D}}_{(s)}P,{\bar{D}}_{(s)}V,{\bar{D}}_{(s)}^{\ast }P,{\bar{D}}_{(s)}^{\ast }V$ decays in perturbative QCD approach
• Convention-independent study of CP-violating asymmetries in $B\to \pi \pi$
• Implications of CP Asymmetries in $B\to {\pi }^{+}{\pi }^{-}$
• Penguin Topologies, Rescattering Effects and Penguin Hunting with $B_{u,d}\to K\bar{K}$ and $B^{\pm }\to {\pi }^{\pm }K$
• Implications for CP asymmetries of improved data on $B\to K^0{\pi }^0$
• Effects of R-parity violation on direct CP violation in B decays and extraction of $\gamma$
• Electroweak penguin amplitudes and constraints on $\gamma$ in charmless $B\to VP$ decays
• Suppression of flavor symmetry breaking in B decay sum rules
• Sum rule for rate and CP asymmetry in $B^{+}\to K^{+}{\pi }^0$
• 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
• Bounding the penguin effects on determinations of $\alpha$ from $B^0(t)\to {\pi }^{+}{\pi }^{-}$ decays
• Extracting information on CKM phases, electro-weak penguins and new physics from B --> VV decays
• Information on $B\to \pi \pi$ Provided by the Semileptonic Process $B\to \pi l\nu$
• Weak Phase $\gamma$ from $B_s(t)\to K^{+}{K}^{-}$
• The factorizable amplitude in $B^0\to {\pi }^{+}{\pi }^{-}$
• A Critical Look at Rescattering Effects on $\gamma$ from $B^{+}\to K\pi$
• Electroweak Model Independent Tests for SU(3) Symmetry in Hadronic B Decays
• Factorization vs. Flavor SU(3) in Charmless B Decays
• Weak phases $\gamma$ and $\alpha$ from $B^{+}$, or $B^0$ and $B_s$ decays
• Calculating Phases Between B => K* pi Amplitudes
• CP violation in beauty decays
• CKM Phases from CP Asymmetries
• Using the value of beta to help determine gamma from B decays
• ${\bar{B}}^0\to {\pi }^{+}X$ in the Standard Model
• Extraction of the CKM angle $\gamma$ from the new "mixed " system of $B^{+}\to {\pi }^{+}{K}^0$ and $B_d^0\to {\pi }^0{K}^0$ decays
• Rescattering and electroweak penguin effects in determinations of the weak phase $\gamma$
• Zweig-rule-satisfying inelastic rescattering in B decays to pseudoscalar mesons
• Non-Spectator Contributions to Inclusive Charmless $B$ Decays
• Complete analysis of all $B\to \pi K$ decays
• BEAUTY'99 Conference Summary
• Status and Prospects of CKM Phase Determinations
• Impact of B physics on model building and vice versa: an example
• Exploring CP Violation through B Decays
• Lattice QCD and heavy quarks
• Extracting the CKM phase angle γ(\equiv ϕ_3) from isospin analysis in B\to K πdecays