Exploring CP Violation through Correlations in B --> pi K, B_d --> pi^+pi^-, B_s --> K^+K^- Observable Space

Abstract

We investigate allowed regions in observable space of B --> pi K, B_d --> pi^+pi^- and B_s --> K^+K^- decays, characterizing these modes in the Standard Model. After a discussion of a new kind of contour plots for the $B\to \pi K$ system, we focus on the mixing- induced and direct CP asymmetries of the decays B_d --> pi^+pi^- and B_s--> K^+K^-. Using experimental information on the CP-averaged B_d --> pi^{+/-}K^{+/-} and B_d --> pi^+pi^- branching ratios, the relevant hadronic penguin parameters can be constrained,implying certain allowed regions in observable space. In the case of B_d --> pi^+pi^-, an interesting situation arises now in view of the recent B-factory measurements of CP violation in this channel, allowing us to obtain new constraints on the CKM angle gamma as a function of the B^0_d--\bar{B^0_d} mixing phase phi_d=2beta, which is fixed through A_{CP}^{mix}(B_d --> J/psi K_S) up to a twofold ambiguity. If we assume that A_{CP}^{mix}(B_d --> pi^+pi^-) is positive, as indicated by recent Belle data, and that phi_d is in agreement with the ``indirect'' fits of the unitarity triangle, also the corresponding values for gamma around 60 degrees can be accommodated. On the other hand, for the second solution of phi_d, we obtain a gap around gamma ~ 60 degrees. The allowed region in the space of A_{CP}^{mix}(B_s --> K^+K^-) and A_{CP}^{dir}(B_s --> K^+K^-) is very constrained in the Standard Model, thereby providing a narrow target range for run II of the Tevatron and the experiments of the LHC era.

34 pages, LaTeX, 12 figures. More detailed introduction and a few Comments added, conclusions unchanged. To appear in Phys. Rev. D

References in corpus (4)

• Strong and Weak Phases from Time-Dependent Measurements of $B\to \pi \pi$
• Higher-Order Corrections to QCD Factorization in B->pi K,pi pi Decays
• Weak Phase $\gamma$ from $B_s(t)\to K^{+}{K}^{-}$
• Bayesian analysis of the constraints on gamma from B --> K pi rates and CP asymmetries in the flavour-SU(3) approach

Cited by in corpus (44)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Anatomy of Prominent B and K Decays and Signatures of CP-Violating New Physics in the Electroweak Penguin Sector
• B -> pi pi, New Physics in B -> pi K and Implications for Rare K and B Decays
• Two body B decays with isosinglet final states in SCET
• Probing New Physics through B Mixing: Status, Benchmarks and Prospects
• Measurements of Branching Fractions and CP-violating Asymmetries in B0->pi+ pi-, K+ pi-, K+ K- Decays
• B, D and K decays
• New Strategies to Obtain Insights into CP Violation Through $B_s\to D_s^{\pm }{K}^{\mp },D_s^{\ast \pm }{K}^{\mp },...$ and $B_d\to D^{\pm }{\pi }^{\mp },D^{\ast \pm }{\pi }^{\mp },...$ Decays
• The B -> pi K Puzzle and its Relation to Rare B and K Decays
• Possible Large Direct CP Violations in Charmless B-Decays
• New, Efficient and Clean Strategies to Explore CP Violation Through Neutral B Decays
• $B_{s,d}\to \pi \pi ,\pi K,KK$: Status and Prospects
• 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
• In Pursuit of New Physics with B^0_s -> K^+K^-
• Exploring B_{d,s}-> KK decays through flavour symmetries and QCD-factorisation
• Flavor SU(3) analysis of charmless B meson decays to two pseudoscalar mesons
• New Aspects of B -> pi pi, pi K and their Implications for Rare Decays
• Exploring CP Violation and Penguin Effects through $B_d^0\to D^{+}{D}^{-}$ and $B_s^0\to D_s^{+}{D}_s^{-}$
• Measurements of branching fraction ratios and CP asymmetries in B+/- ->D_CP K+/- decays in hadron collisions
• The CKM Matrix and The Unitarity Triangle: Another Look
• Implications of CP Asymmetries in $B\to {\pi }^{+}{\pi }^{-}$
• A Closer Look at $B_{d,s}\to D{f}_r$ Decays and Novel Avenues to Determine $\gamma$
• Indication for Large Rescatterings in Charmless Rare B Decays
• Searching for New Physics in b to s Hadronic Penguin Decays
• Charmless Hadronic Two-Body B Meson Decays
• Shedding Light on the "Dark Side" of $B_d^0$--${\bar{B}}_d^0$ Mixing through $B_d\to {\pi }^{+}{\pi }^{-}$, $K\to \pi \nu \bar{\nu }$ and $B_{d,s}\to {\mu }^{+}{\mu }^{-}$
• Penguin-mediated B_(d,s)->VV decays and the Bs - anti-Bs mixing angle
• B_s^0-\bar{B}_s^0 mixing and B -> πK decays in stringy leptophobic Z^\prime
• Measurements of branching fraction ratios and CP-asymmetries in suppressed B^- -> D(-> K^+ pi^-)K^- and B^- -> D(-> K^+ pi^-)pi^- decays
• Unitarity Triangles and the Search for New Physics
• Bs-->K+K- and Bs-->K0 anti-K0 Decays within Supersymmetry
• Experimental Results on Heavy Quarks
• Bd^0(t)->pi^+pi^- and Bs^0(t)-> K^+ K^- Decays: A Tool to Measure New-Physics Parameters
• Testing the Standard Model with Bs-> K^+ K^- Decays
• CKM matrix and CP violation in B-mesons
• Constraint on the CKM angle alpha from the experimental measurements of CP violation in B_d^0 --> pi^+ pi^- decay
• Constraints on the CKM Angle gamma from B -> K*+- pi-+
• Exploring the Unitarity Triangle through CP violation observables in $B_s\to K^{+}{K}^{-}$
• Bounds on gamma from CP violation measurements in B -> pi+ pi- and B -> psi K_S
• Elastic and inelastic SU(3)-breaking final-state interactions in B decays to pseudoscalar mesons
• Exploring CP Violation through B Decays
• Sum rules for B-->pi eta('), K eta('), eta(') eta(') decays
• Impact of B physics on model building and vice versa: an example