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New aspects of B → ππ, πK and their implications for rare decays

  • A. J. Buras
  • R. Fleischer
  • S. Recksiegel
  • F. Schwab
Theoretical Physics

Abstract.

We analyze the B → ππ, πK modes in the light of the most recent B-factory data, and obtain the following new results: (i) the \(B^0_d\to\pi^ + \pi^-,\pi^- K^ + \) modes prefer γ = (74±6)°, which - together with |V ub /V cb | - allows us to determine the "true" unitarity triangle and to search for CP-violating new-physics contributions to B 0 d -\(\bar B^0_d\) mixing; (ii) the B → πK puzzle reflected in particular by the low experimental value of the ratio R n of the neutral B → πK rates persists and still favors new physics in the electroweak penguin sector with a new CP-violating phase ϕ ~ –90°, although now also ϕ ~ +90° can bring us rather close to the data; (iii) the mixing-induced \(B^0_d\to\pi^0 K_{\mathrm {S}}\) CP asymmetry is a sensitive probe of the sign of this phase, and would currently favor ϕ ~ +90°, as well as the direct CP asymmetry of \(B^\pm\to\pi^0K^\pm\), which suffers, however, from large hadronic uncertainties; (iv) we investigate the sensitivity of our B → πK analysis to large non-factorizable SU(3)-breaking effects and find that their impact is surprisingly small so that it is indeed exciting to speculate on new physics; (v) assuming that new physics enters through Z 0 penguins, we study the interplay between B → πK and rare B, K decays and point out that the most recent B-factory constraints for the latter have interesting implications, bringing us to a few scenarios for the future evolution of the data, where also the mixing-induced CP violation in \(B^0_d\to\pi^0 K_{\mathrm {S}}\) plays a prominent rôle.

Keywords

Field Theory Elementary Particle Quantum Field Theory Rare Decay 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • A. J. Buras
    • 1
  • R. Fleischer
    • 2
  • S. Recksiegel
    • 1
  • F. Schwab
    • 3
    • 1
  1. 1.Physik DepartmentTechnische Universität MünchenGarchingGermany
  2. 2.Theory DivisionDepartment of Physics, CERNSwitzerland
  3. 3.Max-Planck-Institut für PhysikWerner-Heisenberg-InstitutMunichGermany

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