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

dc.creatorMoussallam, B.
dc.date2007-10-02
dc.date2007-11-02
dc.date.accessioned2026-07-07T11:19:43Z
dc.date.available2026-07-07T11:19:43Z
dc.descriptionWe 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.
dc.description24 pages, 11 figures. v2: minor corrections and clarifications
dc.identifierhttps://arxiv.org/abs/0710.0548
dc.identifierhttp://arxiv.org/abs/0710.0548
dc.identifierEur.Phys.J.C53:401-412,2008
dc.identifierdoi:10.1140/epjc/s10052-007-0464-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193780
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAnalyticity constraints on the strangeness changing vector current and applications to $τ\to Kπν_τ$, $τ\to Kππν_τ$
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