论文标题
$ d^{\ pm} \ rightarrow k^{\ ast}（892）^{0}π^{\ pm} + \ bar {k}^{k}^{\ ast}（892）（892） π^{\ pm} $衰减
Study of CP Violation in $D^{\pm}\rightarrow K^{\ast}(892)^{0} π^{\pm} + \bar{K}^{\ast }(892)^{0}π^{\pm}\rightarrow K_{S,L}^{0}π^0 π^{\pm}$ Decays
论文作者
论文摘要
在标准模型中，我们研究了CP违规行为，$ k_s^0-k_l^0 $ abymmerties in $ d^{\ pm} \ rightarrow k^{\ ast}（892）^{0}^{0}π^{\ pm} }（892）^{0}π^{\ pm} \ rightArrow k_ {s，l}^{0}π^0π^0π^{\ pm} $衰减基于分解 - 辅助拓扑振幅 - 振幅振幅（fat）方法和拓扑娱乐（ta）的方法（ta）和cheng and cheng and Cheng and chiang [修订版D 104，073003（2021）。]。我们发现，这些衰减中的CP违规$ a_ {cp}^{k_ {k_ {s，l}^0} $可以超过两种方法中的$ 10^{ - 3} $的订单，包括三个部分：间接cp cp违反$ k^0 - \ bar {k}^0 $混合$ $ a_ {cp，k_ {s，l}^0}^{mix} $，魅力中的直接cp违规损失$ a_ { （Cabibbo最喜欢且倍增的Cabbbo抑制）振幅与中性Kaon混合。 $ k^0- \ bar {k}^0 $混合在$ a_ {cp}^{k_ {k_ {s，l}^0} $中起主要作用，新的cp违反效果具有不合格的贡献，对$ a__ {我们估计$ k_s^0-k_l^0 $ rymmetries $ r_ {k_ {k_ {s} -k_ {l}}^{d^{d^{\ pm}} $的数值结果，并发现脂肪方法中的数值结果与TA接近的数值结果之间存在很大差异。我们还发现，如果一个人采用衰减时间参数的值$ t_0 = 3.0τ_s$和$ t_1 = 10.0τ_s$，新的CP违规效果$ a_ {cp，k_ {s}^0}^0}^{int}^{int} $将在$ d^{\ rightarr中占主导地位。 k^{\ ast}（892）^{0}π^{\ pm} + \ bar {k}^{\ ast}（892）（892）^{0}π^{\ pm} \ pm} \ pm} 10^{6} $和$ 6.5 \ times 10^{6} $ $ d^{\ pm} $ fat方法和ta方法中的事件 - 效率分别。 LHCB，Belle II和BESIII实验可以测试我们的结果。
Within the Standard Model, we investigate the CP violations and the $K_S^0-K_L^0$ asymmetries in $D^{\pm}\rightarrow K^{\ast}(892)^{0} π^{\pm} + \bar{K}^{\ast }(892)^{0}π^{\pm}\rightarrow K_{S,L}^{0}π^0 π^{\pm}$ decays basing on the factorization-assisted topological-amplitude (FAT) approach and the topological amplitude (TA) approach of Cheng and Chiang [Phys. Rev. D 104, 073003 (2021).]. We find that the CP violations in these decays $A_{CP}^{K_{S,L}^0}$ can exceed the order of $10^{-3}$ in the two approaches and consist of three parts: the indirect CP violations in $K^0 -\bar{K}^0$ mixing $A_{CP,K_{S,L}^0}^{mix}$, the direct CP violations in charm decays $A_{CP,K_{S,L}^0}^{dir}$ and the new CP violation effects $A_{CP,K_{S,L}^0}^{int}$, which are induced from the interference between two tree (Cabibbo-favored and doubly Cabibbo-suppressed) amplitudes with the neutral kaon mixing. The indirect CP violations in $K^0 -\bar{K}^0$ mixing play a dominant role in $A_{CP}^{K_{S,L}^0}$, the new CP violation effects have a non-negligible contribution to $A_{CP}^{K_{S,L}^0}$. We estimate the numerical results of the $K_S^0-K_L^0$ asymmetries $R_{K_{S}-K_{L}}^{D^{\pm}}$ and find that there exist a large difference between the numerical results in the FAT approach and that of the TA approach. We also find that if ones adopt the values of the decay time parameters $t_0 = 3.0 τ_S$ and $t_1 = 10.0 τ_S$, the new CP violation effect $A_{CP,K_{S}^0}^{int}$ would dominate the CP violation in $D^{\pm} \rightarrow K^{\ast}(892)^{0} π^{\pm} + \bar{K}^{\ast }(892)^{0}π^{\pm}\rightarrow K_{S}^0π^0 π^{\pm}$ decays and could be observed with $6.7\times 10^{6}$ and $6.5\times 10^{6}$ $D^{\pm}$ events-times-efficiency in the FAT approach and the TA approach, respectively. Our results could be tested by the LHCb, Belle II and BESIII experiments.
