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arXiv 2005.06080hep-phhep-ex
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$B^\pm\to ρ^0π^\pm$和$B^\pm\to σπ^\pm$衰变中的CP破坏

CP Violation in $B^\pm\to ρ^0π^\pm$ and $B^\pm\to σπ^\pm$ Decays

Hai-Yang Cheng

摘要:

在达利兹图中的$B^+\to π^+π^-π^+$的衰减幅度已经由LHCb使用三种不同的方法对$B^+\to π^+π^-π^+$波分量进行了分析。结果表明,在等压线模型中,含$σ$(或$f_0(500)$)的模式的CP不对称性为15%,而含$f_2(1270)$的模式的CP不对称性为40%.相反,CP不对称占主导地位的准二体衰变$B^-\toρ^0π^-$被发现是一致的,在所有三种方法,而所有现有的理论预测导致一个负CP不对称范围从$-7\%$到$-45\%$。我们证明了在QCD分解(QCDF)的框架下,$B^-\toρ^0π^-$中几乎消失的CP破坏是可以理解的。它产生于$1/m_b$功率校正企鹅振幅由于企鹅湮灭和颜色抑制树振幅由于硬观众的相互作用。企鹅灭绝和观众的激烈互动对$A_{CP}(B^-\toρ^0π^-)$产生破坏性影响,使其与零一致。在QCDF中研究了$B^-\toσ/f_0(500)π^-$分子的支化率和CP不对称性,结果与实验一致。

英文摘要:

The decay amplitude of $B^+\to π^+π^-π^+$ in the Dalitz plot has been analyzed by the LHCb using three different approaches for the $S$-wave component. It was found that the mode with $σ$ (or $f_0(500)$) exhibited a CP asymmetry of 15\% in the isobar model, whereas the $f_2(1270)$ mode had a 40\% asymmetry. On the contrary, CP asymmetry for the dominant quasi-two-body decay $B^-\toρ^0π^-$ was found to be consistent with zero in all three approaches, while all the existing theoretical predictions lead to a negative CP asymmetry ranging from $-7\%$ to $-45\%$. We show that the nearly vanishing CP violation in $B^-\toρ^0π^-$ is understandable in the framework of QCD factorization (QCDF). It arises from the $1/m_b$ power corrections to the penguin amplitudes due to penguin annihilations and to the color-suppressed tree amplitude due to hard spectator interactions. Penguin annihilation and hard spectator interactions contribute destructively to $A_{CP}(B^-\toρ^0π^-)$ to render it consistent with zero. The branching fraction and CP asymmetry in $B^-\toσ/f_0(500)π^-$ are investigated in QCDF with results in agreement with experiment.

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