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arXiv · 2508.10989

Understanding large localized CP violation in $B^\pm\to K^\pm\pi^+\pi^-$ using dispersive methods

L. A. Heuser·A. Reyes-Torrecilla·C. Hanhart·B. Kubis·P. C. Magalhães·T. Mannel·J. R. Peláez
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Abstract

We utilize the universality of pion-pion ($\pi\pi$) final-state interactions at small invariant masses to understand the enhanced localized CP violation in $B^\pm\to K^\pm\pi^+\pi^-$, 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 $\pi\pi$ 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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L. A. Heuser, A. Reyes-Torrecilla, C. Hanhart, B. Kubis, P. C. Magalhães, T. Mannel, J. R. Peláez. 2025-08-14. Understanding large localized CP violation in $B^\pm\to K^\pm\pi^+\pi^-$ using dispersive methods. https://doi.org/10.1103/l4rs-4znv

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