S波$ππ$和$πK$散射的解析色散参数化
Analytical dispersive parameterization for S-wave $ππ$ and $πK$ scattering
摘要：
在这一过程中，我们说明了一个新的参数化的S波振幅的$ππ\to ππ$和$πK \to πK $晶格数据（$m_π\sim 240$兆电子伏）的HadSpec合作的例子的适用性。所应用的参数化遵循逆散射振幅的色散表示。左手切割的贡献是参数化的系列在一个适当构造的共形变量。在分析中的关键输入是阿德勒零点，其位置，我们提取的手征微扰理论在次领先的顺序与传播的低能量常数的不确定性。
英文摘要：
In this proceeding, we illustrate the applicability of a new parameterization of the S-wave amplitude on the example of the $ππ\to ππ$ and $πK \to πK $ lattice data ($m_π\sim 240$ MeV) from the HadSpec collaboration. The applied parameterization follows from the dispersive representation for the inverse scattering amplitude. The left-hand cut contribution is parametrized by the series in a suitably constructed conformal variable. The crucial input in the analysis is the Adler zero, whose position we extracted from the chiral perturbation theory at next-to-leading order with the uncertainties propagated from the low-energy constants.
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