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Understanding Large Localized CP Violation in B^{±}→K^{±}π^{+}π^{-} Using Dispersive Methods
L A Heuser1, A Reyes-Torrecilla2, C Hanhart3
1Universität Bonn, Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, 53115 Bonn, Germany.
Abstract:
We utilize the universality of pion-pion (ππ) final-state interactions at small invariant masses to understand the enhanced localized CP violation in B^{±}→K^{±}π^{+}π^{-}, using a dispersive approach. From a fit to the integrated CP-asymmetry data, we successfully predict the Dalitz-plot kinematic distribution of the asymmetry in the low-energy ππ region, including the large localized CP violation recently observed by LHCb. An essential role is played by the contributions of isospin 2. This formalism, whose parameters have a physical meaning, can be adapted straightforwardly to other systems with CP violation enhanced by final-state interactions.
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