arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1902.02273hep-phhep-exnucl-th
收藏

π介子矢量形状因子和$τ^{-}\to K^{-}K_{S}ν_τ$衰变的色散分析

A dispersive analysis of the pion vector form factor and $τ^{-}\to K^{-}K_{S}ν_τ$ decay

Sergi Gonzàlez-Solís, Pablo Roig

备注：
35 pages, 8 figures, 2 ancillary files
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们探索的潜力的衰变$τ^{-}\toπ^{-}π^{0}ν_τ$和$τ^{-}\to K^{-}K_{S}ν_τ$的联合分析中的$ρ(1450)$和$ρ(1700)$共振性质的确定共振手征理论的框架内补充色散关系。一方面，我们利用Belle获得的关于π介子矢量形状因子$|F_{V}^π|^{2}$的模平方的非常精确的数据，对这些共振发挥作用的区域进行非常专门的分析。我们的研究提供了一个改进的治疗系统的理论误差，作为一个最重要的结果，我们得出结论，他们占主导地位的拟合不确定性的确定的$ρ(1450)$和$ρ(1700)$极参数，往往是大于在文献中引用的其他确定这些错误被忽略或低估。我们的分析结果总结在数值表中的形状因子模量和相位，包括统计和系统误差，可以发现作为本文的辅助材料。作为一个副产品，我们还确定了低能量观测的π矢量形状因子和$ρ$极的位置。另一方面，我们受益于最近的实验数据的过渡$τ^{-}\to K^{-}K_{S}ν_τ$释放的BaBar进行第一次分析其衰变谱，并讨论这些共振在这种衰变中的作用。我们指出，更高质量的数据上的$K^{-}K_{S}$衰变通道将允许竞争与$|F_{V}^π|^{2}$的，并提高了确定的$ρ(1450)$和$ρ(1700)$共振参数作为一个综合分析的结果。我们希望我们的研究是感兴趣的，目前和未来的实验分析这些衰变。

英文摘要：

We explore the potential of a combined analysis of the decays $τ^{-}\toπ^{-}π^{0}ν_τ$ and $τ^{-}\to K^{-}K_{S}ν_τ$ in the determination of the $ρ(1450)$ and $ρ(1700)$ resonance properties in the frame of resonance Chiral Theory supplemented by dispersion relations. On the one hand, we take advantage of the very precise data on the modulus squared of the pion vector form factor $|F_{V}^π|^{2}$ obtained by Belle to carry out a very dedicated analysis of the region where these resonances come up into play. Our study provides an improved treatment of the systematic theoretical errors and, as a most important result, we conclude that they dominate over the fit uncertainties in the determination of the $ρ(1450)$ and $ρ(1700)$ pole parameters and tend to be larger than in other determinations quoted in the literature where these errors were ignored or underestimated. The results of our analysis are summarized in numerical tables for the form factor modulus and phase, including both statistical and systematic errors, that can be found as ancillary material of this paper. As a byproduct, we also determine the low-energy observables of the pion vector form factor and the $ρ$-pole position. On the other hand, we benefit from the recent experimental data for the transition $τ^{-}\to K^{-}K_{S}ν_τ$ released by BaBar to perform a first analysis of its decay spectrum and discuss the role of these resonances in this decay. We point out that higher-quality data on the $K^{-}K_{S}$ decay channel will allow compete with the $|F_{V}^π|^{2}$ ones and improve the determination of the $ρ(1450)$ and $ρ(1700)$ resonance parameters as a result of a combined analysis. We hope our study to be of interest for present and future experimental analysis of these 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。

↑