奇异变化矢量流的解析约束及其在$τ\to Kπν_τ$、$τ\to Kππν_τ$中的应用
Analyticity constraints on the strangeness changing vector current and applications to $τ\to Kπν_τ$, $τ\to Kππν_τ$
摘要：
我们讨论矩阵元素的奇异变化矢量流使用它们的关系，由于解析性，与$πK$散射的$P$波。我们考虑了弹性通道中的实验相移测量以及LASS合作获得的关于非弹性散射细节的结果，这些结果表明在中等能量下两个准两体通道占主导地位。相关的形状因子被证明是完全确定的，直到一个味对称性破缺参数，在$t=0$处从手征和味对称性施加边界条件，在$t\to\infty$处从QCD施加边界条件。我们将结果应用于$τ\to Kπν_τ$和$τ\to Kππν_τ$振幅，并将前者与B工厂最近的高统计结果进行比较。
英文摘要：
We discuss matrix elements of the strangeness changing vector current using their relation, due to analyticity, with $πK$ scattering in the $P$-wave. We take into account experimental phase-shift measurements in the elastic channel as well as results, obtained by the LASS collaboration, on the details of inelastic scattering, which show the dominance of two quasi two-body channels at medium energies.The associated form factors are shown to be completely determined, up to one flavour symmetry breaking parameter, imposing boundary conditions at $t=0$ from chiral and flavour symmetries and at $t\to\infty$ from QCD. We apply the results to the $τ\to Kπν_τ$ and $τ\to Kππν_τ$ amplitudes and compare the former to recent high statistics results from B factories.
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