由ρ⁰ - ω混合中干涉项实部引起的CP破坏
CP violation induced by the real part of the interference term in $ρ^0 - ω$ mixing
AI总结：
研究由ρ⁰ - ω混合中干涉项实部引起的CP破坏问题，提出修正可观测量A_CP^ℜ，以微扰QCD方法下的三体强子衰变验证理论框架，消除相关背景，为未来高亮度对撞机恢复CP破坏信号提供理论指导。
AI中文摘要：
为规避在ω质量m_ω附近标准积分CP不对称性（A_CP）中严重的数值抵消，我们提出了一个修正的违反CP的可观测量A_CP^ℜ，它明确突出了干涉项实部的贡献。随后，我们采用微扰QCD（PQCD）方法中的三体强子衰变B⁻→π⁺π⁻π⁻作为主要案例研究来验证这一理论框架。此外，该方法自然消除了源于像f_0(500)这样宽标量共振的平滑、符号保留的连续背景。这个广义框架为在未来高亮度对撞机上恢复可能被粗略实验分箱掩盖的局部CP破坏信号提供了清晰且可靠的理论指导。
英文摘要：
To circumvent the severe numerical cancellations in the standard integrated CP asymmetry ($A_{CP}$) near the $ω$ mass $m_ω$, we propose a modified CP-violating observable, $A_{CP}^{\Re}$, which explicitly highlights the contribution of the real part of the interference term. Subsequently, we employ the three-body hadronic decay $B^{-} \rightarrow π^{+} π^{-} π^{-}$ within the Perturbative QCD (PQCD) approach as a primary case study to validate this theoretical framework. Furthermore, this method naturally eliminates the smooth, sign-preserving continuum background originating from broad scalar resonances like the $f_0(500)$. This generalized framework provides clean and robust theoretical guidance for recovering localized CP-violation signals that might otherwise be masked by coarse experimental binning at future high-luminosity colliders.
