Localized CP violation driven by cross-channel interference between K̅0*(1430)0 and ρ(770)0 in B±→ K±π+π− decays
Abstract
For the charmless three-body decay B± → K± π+ π−, a CP asymmetry sign reversal typically occurs in the low-mππ region. However, experimental data reveals a localized anomaly in the specific phase space region 0.4 GeV2 < mππ2 < 0.8 GeV2 and 1.5 GeV2 < mKπ2 < 2.5 GeV2, where the regular pattern is broken by a rightward tilt. In this work, we investigate the dynamical origin of this phenomenon by employing a quasi-two-body factorization scheme that integrates short-distance perturbative QCD (PQCD) hard kernels with long-distance S-wave LASS and P-wave relativistic Breit--Wigner(RBW) line shapes. Our results demonstrate that the localized anomaly is driven by cross-channel interference between the scalar K̅0*(1430)0 and vector ρ(770)0 resonances, which exhibit an orthogonal geometric topology on the Dalitz plot. Crucially, we show that the rapid variation of the relative strong phase within the intersection region induces coherent interference effects alternating between the charge-conjugated channels, significantly reshaping the local CP asymmetry profile. This cross-channel dynamics framework provides a self-consistent theoretical benchmark for overlapping resonance regions, offering valuable insights for upcoming high-luminosity experiments at Belle II and the HL-LHC.
Related
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BibTeX
@misc{guo2026localized,
title = {{Localized CP violation driven by cross-channel interference between $\overlineK_0^*(1430)^0$ and $ρ(770)^0$ in $B^\pm\rightarrow K^\pmπ^+π^-$ decays}},
author = {Jin-Zhao Guo and Gang Lü},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21464},
eprint = {2609.21464},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21464},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Localized CP violation driven by cross-channel interference between K̅_0^*(1430)^0 and ρ(770)^0 in B^±→ K^±π^+π^− decays
AU - Jin-Zhao Guo
AU - Gang Lü
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.21464
UR - https://arxiv.org/abs/2609.21464
AB - For the charmless three-body decay B^± → K^± π^+ π^−, a CP asymmetry sign reversal typically occurs in the low-m_ππ region. However, experimental data reveals a localized anomaly in the specific phase space region 0.4 GeV^2 < m_ππ^2 < 0.8 GeV^2 and 1.5 GeV^2 < m_Kπ^2 < 2.5 GeV^2, where the regular pattern is broken by a rightward tilt. In this work, we investigate the dynamical origin of this phenomenon by employing a quasi-two-body factorization scheme that integrates short-distance perturbative QCD (PQCD) hard kernels with long-distance S-wave LASS and P-wave relativistic Breit--Wigner(RBW) line shapes. Our results demonstrate that the localized anomaly is driven by cross-channel interference between the scalar K̅_0^*(1430)^0 and vector ρ(770)^0 resonances, which exhibit an orthogonal geometric topology on the Dalitz plot. Crucially, we show that the rapid variation of the relative strong phase within the intersection region induces coherent interference effects alternating between the charge-conjugated channels, significantly reshaping the local CP asymmetry profile. This cross-channel dynamics framework provides a self-consistent theoretical benchmark for overlapping resonance regions, offering valuable insights for upcoming high-luminosity experiments at Belle II and the HL-LHC.
ER -