arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节（Veterans Day），12 日无更新
arXiv 1503.06759hep-ph
收藏

$D$的拓扑振幅衰减到两个伪标量：线性$SU(3)_F$破缺的整体分析

Topological amplitudes in $D$ decays to two pseudoscalars: a global analysis with linear $SU(3)_F$ breaking

Sarah Müller, Ulrich Nierste, Stefan Schacht

备注：
Minor bug in numerical code fixed and corresponding numbers and plots updated. Conclusions unchanged. Typos corrected. Matches published version
发表信息：
Phys. Rev. D 92, 014004 (2015)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们研究了$D^0$、$D^+$和$D_s^+$介子衰变为两个赝标介子的过程，用拓扑振幅表示衰变振幅。包括一贯的SU（3）$_F$打破线性秩序，我们展示了如何拓扑振幅分解可以映射到标准的扩展使用减少的幅度特征的SU（3）表示。树和湮灭振幅可以计算在因式分解的校正是二次的颜色计数参数$1/N_c$。我们发现新的求和规则连接$D^+\rightarrow K_SK^+$，$D_s^+\rightarrow K_Sπ^+$和$D^+\rightarrow K^+π^0$，测试的$1/N_c$扩展的质量。随后，我们确定的拓扑振幅在一个全球性的适合的数据，考虑到各种测量之间的统计相关性。我们进行似然比测试，以量化的作用，具体的拓扑贡献。当SU（3）$_F$极限被排除在大于5个标准差的显著性之外时，可以在SU（3）$_F$的$28\%$小于衰变振幅的情况下获得良好的拟合（与$Δχ^2 <1$）。企鹅振幅$P_{\mathrm{break}}$的大小，它探测了Iliopoulos Maiani（GIM）机制，与零一致;假设$P_{\mathrm{break}}=0$被拒绝，只有$0.7σ$的意义。我们得到了$\mathcal{B}(D^0\rightarrow K_L π^0)$和$\mathcal{B}(D^0\rightarrow K_Sπ^0)$之间的标准模型相关性，它探测了双重Cabibbo抑制的振幅，并发现$\mathcal{B}(D^0\rightarrow K_L π^0)<\mathcal{B}(D^0\rightarrow K_Sπ^0)$比$4σ$更有意义。我们最终预测$\mathcal{B}(D_s^+\rightarrow K_L K^+)= 0.012^{+0.006}_{-0.002}$为$3σ$ CL。

英文摘要：

We study decays of $D^0$, $D^+$, and $D_s^+$ mesons into two pseudoscalar mesons by expressing the decay amplitudes in terms of topological amplitudes. Including consistently SU(3)$_F$ breaking to linear order, we show how the topological-amplitude decomposition can be mapped onto the standard expansion using reduced amplitudes characterized by SU(3) representations. The tree and annihilation amplitudes can be calculated in factorization up to corrections which are quadratic in the color-counting parameter $1/N_c$. We find new sum rules connecting $D^+\rightarrow K_SK^+$, $D_s^+\rightarrow K_Sπ^+$ and $D^+\rightarrow K^+π^0$, which test the quality of the $1/N_c$ expansion. Subsequently, we determine the topological amplitudes in a global fit to the data, taking the statistical correlations among the various measurements into account. We carry out likelihood ratio tests in order to quantify the role of specific topological contributions. While the SU(3)$_F$ limit is excluded with a significance of more than five standard deviations, a good fit (with $Δχ^2 <1$) can be obtained with less than $28\%$ of SU(3)$_F$ breaking in the decay amplitudes. The magnitude of the penguin amplitude $P_{\mathrm{break}}$, which probes the Glashow Iliopoulos Maiani (GIM) mechanism, is consistent with zero; the hypothesis $P_{\mathrm{break}}=0$ is rejected with a significance of just $0.7σ$. We obtain the Standard-Model correlation between $\mathcal{B}(D^0\rightarrow K_L π^0)$ and $\mathcal{B}(D^0\rightarrow K_Sπ^0)$, which probes doubly Cabibbo-suppressed amplitudes, and find that $\mathcal{B}(D^0\rightarrow K_L π^0)<\mathcal{B}(D^0\rightarrow K_Sπ^0)$ holds with a significance of more than $4σ$. We finally predict $\mathcal{B}(D_s^+\rightarrow K_L K^+)= 0.012^{+0.006}_{-0.002}$ at $3σ$ CL.

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。

↑