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K π vector form factor, dispersive constraints and τν τ K π decays

  • Diogo R. Boito
  • Rafel EscribanoEmail author
  • Matthias Jamin
Regular Article - Theoretical Physics

Abstract

Recent experimental data for the differential decay distribution of the decay τ ν τ K S π by the Belle collaboration are described by a theoretical model which is composed of the contributing vector and scalar form factors F + K π (s) and F 0 K π (s). Both form factors are constructed such that they fulfil constraints posed by analyticity and unitarity. A good description of the experimental measurement is achieved by incorporating two vector resonances and working with a three-times-subtracted dispersion relation in order to suppress higher-energy contributions. The resonance parameters of the charged K *(892) meson, defined as the pole of F + K π (s) in the complex s-plane, can be extracted, with the result \(M_{K^{*}}=892.0\pm 0.9\ \mathrm{MeV}\) and \(\varGamma_{K^{*}}=46.2\pm 0.4\ \mathrm{MeV}\) . Finally, employing a three-times-subtracted dispersion relation allows one to determine the slope and curvature parameters λ+=(24.7±0.8)×10−3 and λ+=(12.0±0.2)×10−4 of the vector form factor F + K π (s) directly from the data.

Keywords

Form Factor Pole Position Belle Collaboration Vector Resonance Chiral Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  • Diogo R. Boito
    • 1
  • Rafel Escribano
    • 1
    Email author
  • Matthias Jamin
    • 2
  1. 1.Grup de Física Teòrica and IFAEUniversitat Autònoma de BarcelonaBellaterraSpain
  2. 2.Institució Catalana de Recerca i Estudis Avançats (ICREA), Grup de Física Teòrica and IFAEUniversitat Autònoma de BarcelonaBellaterraSpain

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