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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, B. Kubis1, P. C. Magalhães4, T. Mannel5, and J. R. Peláez2,1

  • *These authors contributed equally to this work.
  • †Contact author: heuser@hiskp.uni-bonn.de
  • ‡Contact author: albrey01@ucm.es
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Phys. Rev. Lett. 136, 111901 – Published 20 March, 2026

DOI: https://doi.org/10.1103/l4rs-4znv

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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Phys. Rev. Lett. 136, 111901– Published 20 March, 2026
  • Received 11 September 2025
  • Revised 10 January 2026
  • Accepted 2 February 2026
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