论文标题
向前backward不对称诱导$ cp $不对称的$ b^{\ pm} \rightarrowπ^{\ pm}π^{+}π^{ - } $
Forward-backward asymmetry induced $CP$ asymmetry of $B^{\pm}\rightarrow π^{\pm}π^{+}π^{-}$
论文作者
论文摘要
$ cp $违反衰减的$ b^{\ pm} \rightArrowπ^{\ pm}π^{+}π^{+}π^{ - } $在$ f_ {0}（500）（500） - ρ（770）-p（770）^{0}^{0}。尤其调查了前进的不对称性（FBA）和相应的$ CP $不对称fb-$ cp $。为了更清洁地隔离不同部分浪潮引起的$ CP $ V，我们还引入了直接$ CP $ V $ V $ V- $ V- $ V- $ V-$ CP $ a。基于LHCB数据，我们提取FBA，Fb- $ cp $ as，direct- $ cp $ cp $ v-subtracted fb- $ cp $ a，以及区域$ cp $，以及不变的质量$π^{+}+}π^{ - } $在0.2的范围内0.2 gev/$ c^{2} <\ sqrt {s _ {\ text {low}}}} <1.8 $ gev/$ gev/$ c^{2} $。发现在$ f_ {0}（500）（500）（770）-ρ（770）^{0} $干扰区域中，（直接 - $ cp $ v-提取）fb- $ cp $和相当大的很大违反三体衰减通道$ b^{\ pm} \rightArrowπ^{\ pm}π^{+}π^{ - } $。
$CP$ violation of the decay $B^{\pm}\rightarrow π^{\pm}π^{+}π^{-}$ in the $f_{0}(500)-ρ(770)^{0}$ interfering region is analyzed. The forward-backward asymmetries (FBAs) and the corresponding $CP$ asymmetries FB-$CP$As are particularly investigated. To isolate the $CP$V caused by the interference of different partial wave more cleanly, we also introduce the direct-$CP$V-subtracted FB-$CP$A. Based on the LHCb data, we extract the FBAs, FB-$CP$As, direct-$CP$V-subtracted FB-$CP$A, as well as the regional $CP$As with invariant mass of the $π^{+}π^{-}$ pair in the range 0.2 GeV/$c^{2}<\sqrt{s_{\text{low}}}<1.8$ GeV/$c^{2}$. It is found that the (direct-$CP$V-subtracted) FB-$CP$As are quite large in the $f_{0}(500)-ρ(770)^{0}$ interfering region, which confirms that the interference of the intermediate resonances $f_{0}(500)$ and $ρ(770)^{0}$ plays an important role for the $CP$ violation of the three-body decay channel $B^{\pm}\rightarrow π^{\pm}π^{+}π^{-}$.
