Weak Phases From B Decays to Kaons and Charged Pions

Abstract

Phases of elements of the Cabibbo-Kobayashi-Maskawa (CKM) matrix can be obtained using decays of $B$ mesons to ${\pi }^{+}{\pi }^{-}$, ${\pi }^{\pm }{K}^{\mp }$, and ${\pi }^{+}{K}^0$ or ${\pi }^{-}{\overline{K}}^0$. For $B^0\mathrm{or}{\overline{B}}^0\to {\pi }^{+}{\pi }^{-}$, one identifies the flavor of the neutral $B$ meson at time of production and studies the time-dependence of the decay rate. The other processes are self-tagging and only their rates need be measured. By assuming flavor SU(3) symmetry and first-order SU(3) breaking, one can separately determine the phases $\gamma \equiv \mathrm{Arg}{V}_{ub}^{\ast }$ and $\alpha =\pi -\beta -\gamma$, where $\beta \equiv \mathrm{Arg}{V}_{td}^{\ast }$. Special cases include the vanishing of strong interaction phase differences between amplitudes, the possibility of recovering partial information when ${\pi }^{+}{\pi }^{-}$ and ${\pi }^{\pm }{K}^{\mp }$ decays cannot be distinguished from one another, and the use of a correlation between $\gamma$ and $\alpha$ in the region of allowed parameters.

18 pages, 11 PostScript figures

References in corpus (6)

• Search for Exclusive Charmless Hadronic B Decays
• Determining the CKM Unitarity Triangle From $B$ Decays to Charged Pions and Kaons
• Determining the Weak Phase $\gamma$ From Charged $B$ Decays
• Electroweak and Strong Penguins in B^{\pm, 0}\to ππ, πK and KK Decays
• A Determination of the CKM-angle $\alpha$ using Mixing-induced CP Violation in the Decays $B_d\to {\pi }^{+}{\pi }^{-}$ and $B_d\to K^0{\bar{K}}^0$
• Extracting $\alpha$ from the CP Asymmetry in $B^0\to {\pi }^{+}{\pi }^{-}$ Decays

Cited by in corpus (31)

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• 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
• $K\to \pi \nu \bar{\nu }$: A Model Independent Analysis and Supersymmetry
• A Possibility of large electro-weak penguin contribution in B -> K pi modes
• Large electroweak penguin contribution in B -> K pi and pi pi decay modes
• SU(3) Breaking in Charmless B Decays
• 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
• Rho-Omega Mixing and Direct CP Violation in Hadronic B-Decays
• New Physics Contributions to The B -> phi K_S Decay
• Convention-independent study of CP-violating asymmetries in $B\to \pi \pi$
• Implications of CP Asymmetries in $B\to {\pi }^{+}{\pi }^{-}$
• Penguin Zoology in $B\to \pi \pi$ and the Extraction of the CKM Angle $\alpha$
• Unitarity Triangles and the Search for New Physics
• Final state interaction phases using data from CP asymmetries
• Discrete Ambiguities In Extracting Weak Phases from B decays
• Using B_s^0 Decays to Determine the CP Angles αand γ
• Exclusive B --> M l^+ l^- (M=π, K, ρ, K^*) Decays and Determinations of |V_{ts}| (and |V_{td}/V_{ts}|)
• Systematic Error on Weak Phase $\gamma$ from $B\to {\pi }^{+}{\pi }^{-}$ and $B\to K\pi$
• Information on $B\to \pi \pi$ Provided by the Semileptonic Process $B\to \pi l\nu$
• CP Violation in B Decays: The Standard Model and Beyond
• CP violation in beauty decays
• CKM Phases from CP Asymmetries
• CKM Matrix and Standard-Model CP Violation
• Theory of CP Violation
• HERA-B: Physics Potential and Prospects