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arXiv 1603.09166hep-phhep-ex
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在$B\to Kπ$、$Kρ$和$ K^{*}π$衰变中用相位测定检验QCD因子分解

Testing QCD factorization with phase determinations in $B\to Kπ$,$Kρ$ and $ K^{*}π$ decays

T. N. Pham

摘要:

成功的QCD因子分解(QCDF)在预测的分支比的无粲$B$衰变到轻赝标和矢量介子和小CP不对称性测量$BABAR$,Belle和LHCb表明,在这些衰变的阶段,如QCDF预测的,是不大的。对于QCDF的精确测试,需要从测量的衰减率中提取出现在树和企鹅贡献之间的干扰项中的衰减幅度的相位。由于树振幅在$Λ_{\rm QCD}/m_{b}$中的前导阶处是已知的,并且与测量的树主导衰减速率一致,因此树振幅的QCDF值可以与测量的衰减速率一起使用,以获得$B\to Kπ$、$Kρ$和$ K^{*}π$衰减速率中的相位。这类似于先前完成的在$p\bar{p}\to J/Ψ\to e^{+}e^{-}$和$p\bar{p}\to e^{+}e^{-} $之间的干扰项中以及在$J/Ψ\to 0^{-}0^{-}$中的最终状态相互作用相位的提取。本文利用测量的$B\to Kπ$、$Kρ$和$ K^{*}π$衰变的衰变率和从$I=2$ $B^{+}\to π^{+}π^{0},ρ^{0}π^{+}, ρ^{+}π^{0 tree-dominated decays and compare the result with the phase given by QCDF. It is remarkable that the phase extracted from experiments differs only slightly from the QCDF values. This shows that there is no large final-state interaction strong phase in $ B \to Kπ $,$ Kρ $, and $ K^{*}π$衰变得到的QCDF $I=3/2$树振幅,确定了$B\to Kπ$、$Kρ$和$ K^{*}π$衰变中$I=3/2$树振幅和$I=1/2$企鹅振幅之间的相位.

英文摘要:

The success of QCD factorization(QCDF) in predicting branching ratios for charmless $B$ decays to light pseudoscalar and vector mesons and the small CP asymmetries measured at $BABAR$, Belle and LHCb show that the phase in these decays, as predicted by QCDF, are not large. For a precise test of QCDF one needs to extract from the measured decay rates, the phase of the decay amplitude which appears in the interference terms between the tree and penguin contribution. Since the tree amplitude is known at the leading order in $Λ_{\rm QCD}/m_{b}$ and is consistent with the measured tree-dominated decay rates, the QCDF value for the tree amplitude can be used with the measured decay rates to obtain the phases in $B\to Kπ$,$Kρ$, and $ K^{*}π$ decay rates. This is similar to the extraction of the final-state interaction phases in the interference term between $p\bar{p}\to J/Ψ\to e^{+}e^{-}$ and $p\bar{p}\to e^{+}e^{-} $ and in $J/Ψ\to 0^{-}0^{-}$ done previously. In this paper, we present a determination of the phase between the $I=3/2$ tree and $I=1/2$ penguin amplitudes in $B\to Kπ$,$Kρ$ , and $ K^{*}π$ decays using the measured decay rates and the QCDF $I=3/2$ tree amplitude obtained from the $I=2$ $B^{+}\to π^{+}π^{0},ρ^{0}π^{+}, ρ^{+}π^{0 tree-dominated decays and compare the result with the phase given by QCDF. It is remarkable that the phase extracted from experiments differs only slightly from the QCDF values. This shows that there is no large final-state interaction strong phase in $B\to Kπ$,$Kρ$, and $ K^{*}π$ decays.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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