Analyticity constraints on the strangeness changing vector current and applications to $\tau\to K\pi \nu_\tau$, $\tau\to K\pi\pi \nu_\tau$

We discuss matrix elements of the strangeness changing vector current using their relation, due to analyticity, with $π K$ 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 $τ \to K π ν_{τ}$ and $\tau\to K\pi\pi \nu_\tau$ amplitudes and compare the former to recent high statistics results from B factories.

Analyticity constraints on the strangeness changing vector current and applications to $τ \to K π ν_{τ}$ , $τ \to K π π ν_{τ}$

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Analyticity constraints on the strangeness changing vector current and applications to $τ \to K π ν_{τ}$ , $τ \to K π π ν_{τ}$

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Analyticity constraints on the strangeness changing vector current and applications to τ→Kπνττ→Kπντ​, τ→Kππνττ→Kππντ​

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Analyticity constraints on the strangeness changing vector current and applications to τ→Kπνττ→Kπντ​, τ→Kππνττ→Kππντ​

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Analyticity constraints on the strangeness changing vector current and applications to $τ \to K π ν_{τ}$ , $τ \to K π π ν_{τ}$

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Analyticity constraints on the strangeness changing vector current and applications to $τ \to K π ν_{τ}$ , $τ \to K π π ν_{τ}$

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