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

Abstract : 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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http://hal.in2p3.fr/in2p3-00176266
Contributor : Dominique Girod <>
Submitted on : Wednesday, October 3, 2007 - 10:11:36 AM
Last modification on : Wednesday, September 16, 2020 - 4:08:18 PM

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B. Moussallam. Analyticity constraints on the strangeness changing vector current and applications to $\tau\to K\pi \nu_\tau$, $\tau\to K\pi\pi \nu_\tau$. European Physical Journal C: Particles and Fields, Springer Verlag (Germany), 2007, 35, pp.401-412. ⟨10.1140/epjc/s10052-007-0464-7⟩. ⟨in2p3-00176266⟩

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