论文标题
$ρ-ω$混合贡献$ cp $不对称的$ b^\ pm \ toωk^\ pm $
$ρ-ω$ mixing contribution to the measured $CP$ asymmetry of $B^\pm\to ωK^\pm$
论文作者
论文摘要
我们将$ cp $不对称为$ b^\ pm \ toωk^\ pm $，其中包括$ρ-ω$混合机构。结果表明，$ cp $不对称的$ b^\ pm \toΩk^\ pm $实验测量（$ a_ {cp}^{\ text {exp}} $）和常规定义（$ a_ {cp}^{cp}^{\ text {\ text {con} $）是不同的，以下是不同的，以下是不同美元$ a_ {cp}^{\ text {exp}} $。 $ a_ {cp}^{\ text {exp}} $实际上是$ b^\ pm \ pm \toπ^+π^-π^0 k^\ pm $的区域$ cp $不对称，而三个pions的不变质量在于$ω$ resonance的差异。 $ΔA_{cp}^{ρΩ} $的数值是从$ b^\ pm \toπ^+π^-K^\ pm $的实验数据中提取的，并且被发现与$ a_ {cp}^{从常规定义的$ cp $不对称，$ a_ {cp}^{\ text {con}} $是从$ a_ {cp}^{\ text {exp}} $和$Δa_{cp}} $ a_ {cp}^{cp}} $ a_ {cp}}^cp}^{pext {ρΩ} $的值中获得的。
We study the $CP$ asymmetry of $B^\pm\to ωK^\pm$ with the inclusion of the $ρ-ω$ mixing mechanism. It is shown that the $CP$ asymmetry of $B^\pm\toωK^\pm$ experimentally measured ($A_{CP}^{\text{exp}}$) and conventionally defined ($A_{CP}^{\text{con}}$) are in fact different, which relation can be illustrated as $A_{CP}^{\text{exp}}=A_{CP}^{\text{con}}+ΔA_{CP}^{ρω}$, with $ΔA_{CP}^{ρω}$ the $ρ-ω$ mixing contribution to $A_{CP}^{\text{exp}}$. $A_{CP}^{\text{exp}}$ is in fact the regional $CP$ asymmetry of $B^\pm\toπ^+π^-π^0 K^\pm$ when the invariant mass of the three pions lies in the vicinity of the $ω$ resonance. The numerical value of $ΔA_{CP}^{ρω}$ is extracted from the experimental data of $B^\pm\toπ^+π^-K^\pm$ and is found to be comparable with $A_{CP}^{\text{exp}}$, hence, nonnegligible. The conventionally defined $CP$ asymmetry, $A_{CP}^{\text{con}}$, is obtained from the values of $A_{CP}^{\text{exp}}$ and $ΔA_{CP}^{ρω}$, and is compared with the theoretical calculations in the literature.
