$B^{\pm}\rightarrow K^{\pm}\pi^{+}\pi^{-}$衰变中$\overline{K}_0^*(1430)^0$与$\rho(770)^0$之间交叉道干涉驱动的局域CP破坏
Localized CP violation driven by cross-channel interference between $\overline{K}_0^*(1430)^0$ and $ρ(770)^0$ in $B^{\pm}\rightarrow K^{\pm}π^{+}π^{-}$ decays
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中文总结 AI 辅助
针对B±→K±π+π−衰变中特定相空间区域的CP不对称性异常，采用准两体因子化方案，发现标量与矢量共振的交叉道干涉是其主要动态起源，为高亮度实验提供理论基准。
中文摘要 AI 辅助
对于无粲三体衰变$B^{\pm} \rightarrow K^{\pm} \pi^{+} \pi^{-}$，CP不对称性符号反转通常出现在低$m_{\pi\pi}$区域。然而，实验数据揭示了特定相空间区域$0.4 \text{ GeV}^2 < m_{\pi\pi}^2 < 0.8 \text{ GeV}^2$和$1.5 \text{ GeV}^2 < m_{K\pi}^2 < 2.5 \text{ GeV}^2$中的局域异常，其中常规模式被右倾打破。在本工作中，我们通过采用准两体因子化方案研究该现象的动态起源，该方案将短距离微扰QCD（PQCD）硬核与长距离$S$波LASS和$P$波相对论Breit-Wigner（RBW）线形相结合。我们的结果表明，局域异常由标量$\overline{K}_0^*(1430)^0$和矢量$\rho(770)^0$共振之间的交叉道干涉驱动，它们在Dalitz图上表现出正交的几何拓扑。至关重要的是，我们表明相交区域内相对强相的快速变化诱导了电荷共轭道之间交替的相干干涉效应，显著重塑了局域CP不对称性分布。该交叉道动力学框架为重叠共振区域提供了自洽的理论基准，为即将在Belle II和HL-LHC进行的高亮度实验提供了宝贵见解。
英文摘要
For the charmless three-body decay $B^{\pm} \rightarrow K^{\pm} π^{+} π^{-}$, 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 $0.4 \text{ GeV}^2 < m_{ππ}^2 < 0.8 \text{ GeV}^2$ and $1.5 \text{ GeV}^2 < m_{Kπ}^2 < 2.5 \text{ GeV}^2$, 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 $\overline{K}_0^*(1430)^0$ 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.
发表机构
- School of Physics and Advanced Energy, Henan University of Technology（河南工业大学物理与能源学院）
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