论文标题
部分可观测时空混沌系统的无模型预测
CP violation in the interference between $ρ(770)^0$ and $S$-wave in $B^\pm\to π^+ π^-π^\pm$ decays and its implication for CP asymmetry in $B^\pm\to ρ^0π^\pm$
论文作者
论文摘要
$ b^\ pm \ toπ^+π^-π^\ pm $的衰减振幅分析在lhcb执行的dalitz图中衰减表明，对于主要的quasi-two-two-two-two-boty衰减$ b^\ pm pm \ pm pm $ pm $的cp不对 - 与$ρ（770）^0 $共振与$ s $波之间的干扰有关的组件和CP侵略效应清楚地观察到了。我们表明，在QCD分解的框架内，可以理解$ b^\ pm \toρ^0π^\ pm $中几乎消失的CP违规行为。有两个$ 1/m_b $ power更正，一个来自企鹅歼灭，另一个来自硬观众互动。它们对$ a_ {cp}（b^\ pm \toρ^0π^\ pm）$的贡献与零兼容，与大多数现有模型中预测的可观的负CP不对称相反。接下来，我们表明，在低$ m_ {π^+π^ - } $区域中，$ρ$和$ s $波之间的测量干扰模式与$ \cosθ$的迹象分开，$θ$是$ρ$ resonance的$ρ$ resonance smill smill syness中的两个相同的带电率之间的角度，$ \cosθ$是$ \cosθ$的范围。 $ a_ {cp}（b^+\toρ^0π^+）$以及$ρ（770）$和$σ/f_0（500）$之间的干扰。如果$ b^\ pm \toρ^0π^\ pm $中的cp不对称是在许多现有模型中所预测的，则观察到的干扰模式将被破坏。我们得出的结论是，在低 - $ m_ {π^+π^ - } $区域中，$ p $ - 和$ s $ waves之间的干扰模式的实验性观察与0.5至1.0 GEV之间的区域与$ b^\ pm \ pm \ pm \ to至pm \ to至pm \ to pm \ to至pm \ to至pm \ to至pm \ to至pm \ to pm \ to pm \ to pm \ to pm \ pm \ to pm \ pm \ to至pm $差异几乎消失。
The decay amplitude analyses of $B^\pm\to π^+ π^-π^\pm$ decays in the Dalitz plot performed by LHCb indicate that CP asymmetry for the dominant quasi-two-body decay $B^\pm\toρ(770)^0π^\pm$ was found to be consistent with zero in all three approaches for the $S$-wave component and that CP-violation effects related to the interference between the $ρ(770)^0$ resonance and the $S$-wave were clearly observed. We show that the nearly vanishing CP violation in $B^\pm\toρ^0π^\pm$ is understandable within the framework of QCD factorization. There are two $1/m_b$ power corrections, one from penguin annihilation and the other from hard spectator interactions. They contribute destructively to $A_{CP}(B^\pm\toρ^0π^\pm)$ to render it compatible with zero, in contrast to the sizable negative CP asymmetry predicted in most of the existing models. We next show that the measured interference pattern between the $ρ$ and $S$-wave contributions in the low $m_{π^+π^-}$ region separated by the sign of value of $\cosθ$ with $θ$ being the angle between the two same charged pions measured in the rest frame of the $ρ$ resonance can be explained in terms of the smallness of $A_{CP}(B^+\toρ^0π^+)$ and the interference between $ρ(770)$ and $σ/f_0(500)$. If CP asymmetry in $B^\pm\toρ^0π^\pm$ is not negligible as predicted in many existing models, the observed interference pattern will be destroyed. We conclude that the experimental observation of the interference pattern between $P$- and $S$-waves in the low-$m_{π^+π^-}$ region between 0.5 and 1.0 GeV is consistent with a nearly vanishing CP violation in $B^\pm\toρ^0π^\pm$.
