Towards Extractions of the CKM Angle $\gamma$ from $B_{u,d}\to \pi K$ and Untagged $B_s\to K\bar{K}$ Decays

Abstract

The decays $B_d\to {\pi }^{\mp }{K}^{\pm }$ and $B^{\pm }\to {\pi }^{\pm }K$ provide interesting constraints on the angle $\gamma$ of the unitarity triangle of the CKM matrix. It is shown that bounds on $\gamma$ can also be obtained from the time evolution of untagged $B_s\to K^{+}{K}^{-}$ and $B_s\to K^0\overline{K^0}$ decays, provided the $B_s$ system exhibits a sizeable width difference $\Delta {\Gamma }_s$. A detailed discussion of rescattering processes and electroweak penguin effects, which limit the theoretical accuracy of these constraints, and of methods to control them through experimental data is given. Moreover, strategies are pointed out to go beyond these bounds by relating the $B_{u,d}\to \pi K$ and untagged $B_s\to K\bar{K}$ decays through the SU(3) flavour symmetry of strong interactions. If a tagged, time-dependent measurement of the $B_s\to K^{+}{K}^{-}$ and $B_s\to K^0\overline{K^0}$ modes should become possible, $\gamma$ could be determined from the corresponding observables in a way that makes use of only the SU(2) isospin symmetry and takes into account rescattering effects ``automatically''. The impact of new-physics contributions to $B_s^0-\overline{B_s^0}$ mixing is also analysed, and interesting features arising in such a scenario of physics beyond the Standard Model are pointed out.

34 pages, LaTeX, 12 figures, extended version including a detailed discussion of rescattering and electroweak penguin effects

References in corpus (9)

• An analysis of two-body non-leptonic B decays involving light mesons in the standard model
• Constraining the CKM angle $\gamma$ and penguin contributions through combined $B\to \pi K$ branching ratios
• 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
• Final State Interactions and New Physics in B -> pi K Decays
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• Rescattering Effects, Isospin Relations and Electroweak Penguins in B -> pi K Decays
• Observation of Exclusive Two-Body B Decays to Kaons and Pions
• Implications of the Fleischer-Mannel Bound
• Using B_s^0 Decays to Determine the CP Angles αand γ

Cited by in corpus (13)

• In Pursuit of New Physics with B_s Decays
• New Strategies to Extract $\beta$ and $\gamma$ from $B_d\to {\pi }^{+}{\pi }^{-}$ and $B_s\to K^{+}{K}^{-}$
• U-Spin Symmetry in Charmless B Decays
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Extracting CKM Phases from Angular Distributions of $B_{d,s}$ Decays into Admixtures of CP Eigenstates
• CP Violating Lepton Asymmetries from B Decays and Their Implication for Supersymmetric Flavor Models
• New Bounds On The CKM Matrix From B -> K pi pi Dalitz Plot Analyses
• Rescattering Information from $B\to K\bar{K}$ Decays
• An Analysis of B_s Decays in the Left-Right-Symmetric Model with Spontaneous CP Violation
• Searching for New Physics in b to s Hadronic Penguin Decays
• Weak Phase $\gamma$ from $B_s(t)\to K^{+}{K}^{-}$
• Weak Phase $\gamma$ and Strong Phase $\delta$ from CP Averaged $B\to \pi \pi$ and $\pi K$ Decays
• CP Violation: Past, Present, and Future