We establish the framework for the comparison of $pi K$ scattering amplitudes from SU(3) chiral perturbation theory with suitable dispersive representations which result from the combination of certain fixed-t dispersion relations with dispersion relations on hyperbolic curves. This allows for predictions for some combinations of low energy constants appearing in higher order calculations of chiral perturbation theory. Using a simple parametrization for the lowest partial waves, first estimates for some combinations are presented.
展开▼
机译：我们建立了用于比较SU（3）手性摄动理论的$ pi K $散射幅度的框架，并使用了一些固定t色散关系与双曲曲线上的色散关系的组合，得出了合适的色散表示。这允许对在手性扰动理论的高阶计算中出现的低能量常数的某些组合进行预测。对最低的部分波使用简单的参数化，给出了一些组合的第一估计。
展开▼
