Combined analysis of the decays ${\tau }^{-}\to K_S{\pi }^{-}{\nu }_{\tau }$ and ${\tau }^{-}\to K^{-}\eta {\nu }_{\tau }$

Abstract

In a combined study of the decay spectra of ${\tau }^{-}\to K_S{\pi }^{-}{\nu }_{\tau }$ and ${\tau }^{-}\to K^{-}\eta {\nu }_{\tau }$ decays within a dispersive representation of the required form factors, we illustrate how the $K^{\ast }(1410)$ resonance parameters, defined through the pole position in the complex plane, can be extracted with improved precision as compared to previous studies. While we obtain a substantial improvement in the mass, the uncertainty in the width is only slightly reduced, with the findings $M_{K^{\ast \prime }}=1304\pm 17$MeV and ${\Gamma }_{K^{\ast \prime }}=171\pm 62$MeV. Further constraints on the width could result from updated analyses of the $K\pi$ and/or $K\eta$ spectra using the full Belle-I data sample. Prospects for Belle-II are also discussed. As the $K^{-}{\pi }^0$ vector form factor enters the description of the decay ${\tau }^{-}\to K^{-}\eta {\nu }_{\tau }$, we are in a position to investigate isospin violations in its parameters like the form factor slopes. In this respect also making available the spectrum of the transition ${\tau }^{-}\to K^{-}{\pi }^0{\nu }_{\tau }$ would be extremely useful, as it would allow to study those isospin violations with much higher precision.

20 pages, 1figure

References in corpus (6)

• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• Spectral distribution for the decay tau -> nu_tau K pi
• K pi vector form factor, dispersive constraints and tau -> nu_tau K pi decays
• What can be learned from the Belle spectrum for the decay tau- -> nu_tau K_S pi-
• Analyticity constraints on the strangeness changing vector current and applications to $\tau \to K\pi {\nu }_{\tau }$, $\tau \to K\pi \pi {\nu }_{\tau }$
• K pi vector form factor constrained by tau ---> K pi nu_tau and K_l3 decays

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