Analyticity constraints on the strangeness changing vector current and applications to $τ\to Kπν_τ$, $τ\to Kππν_τ$

Details Analyticity constraints on the strangeness changing vector current and applications to $τ\to Kπν_τ$, $τ\to Kππν_τ$ Analyticity constraints on the strangeness changing vector current and applications to $τ\to Kπν_τ$, $τ\to Kππν_τ$

2007-10-02

arxiv.org/abs/0710.0548v2

Eur.Phys.J.C53:401-412,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 11 figures. v2: minor corrections and clarifications

Scientific paper

10.1140/epjc/s10052-007-0464-7

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

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