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

Fuente: arXiv
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Main Authors: Heuser, L. A., Reyes-Torrecilla, A., Hanhart, C., Kubis, B., Magalhães, P. C., Mannel, T., Peláez, J. R.
Format: Preprint
Published: 2025
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author Heuser, L. A.
Reyes-Torrecilla, A.
Hanhart, C.
Kubis, B.
Magalhães, P. C.
Mannel, T.
Peláez, J. R.
author_facet Heuser, L. A.
Reyes-Torrecilla, A.
Hanhart, C.
Kubis, B.
Magalhães, P. C.
Mannel, T.
Peláez, J. R.
contents We utilize the universality of pion-pion ($ππ$) final-state interactions at small invariant masses to understand the enhanced localized CP violation in $B^\pm\to K^\pmπ^+π^-$, 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_10989
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Understanding large localized CP violation in $B^\pm\to K^\pmπ^+π^-$ using dispersive methods
Heuser, L. A.
Reyes-Torrecilla, A.
Hanhart, C.
Kubis, B.
Magalhães, P. C.
Mannel, T.
Peláez, J. R.
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We utilize the universality of pion-pion ($ππ$) final-state interactions at small invariant masses to understand the enhanced localized CP violation in $B^\pm\to K^\pmπ^+π^-$, 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.
title Understanding large localized CP violation in $B^\pm\to K^\pmπ^+π^-$ using dispersive methods
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2508.10989