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Analyticity constraints on the strangeness changing vector current and applications to τ→Kπντ and τ→Kππντ

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Abstract

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 flavor symmetry breaking parameter, imposing boundary conditions at t=0 from chiral and flavor symmetries and at t→∞ from QCD. We apply the results to the τ→Kπντ and τ→Kππντ amplitudes and compare the former to recent high statistics results from B factories.

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Correspondence to B. Moussallam.

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PACS

11.55.Fv; 11.30.Rd; 11.30.Hv; 13.35.Dx

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Moussallam, B. Analyticity constraints on the strangeness changing vector current and applications to τ→Kπντ and τ→Kππντ . Eur. Phys. J. C 53, 401–412 (2008). https://doi.org/10.1140/epjc/s10052-007-0464-7

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  • DOI: https://doi.org/10.1140/epjc/s10052-007-0464-7

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