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\(\tau^{-}\rightarrow \nu_{\tau} M_{1}M_{2}\), with M1, M2 pseudoscalar or vector mesons

  • L. R. DaiEmail author
  • R. Pavao
  • S. Sakai
  • E. Oset
Regular Article - Theoretical Physics

Abstract.

We perform a calculation of the \( \tau^{-} \rightarrow \nu_{\tau} M_{1} M_{2}\), with \( M_{1}, M_{2}\) either pseudoscalar or vector mesons using the basic weak interaction and angular momentum algebra to relate the different processes. The formalism also leads to a different interpretation of the role played by G-parity in these decays. We also observe that, while PPp-wave production is compatible with chiral perturbation theory and experiment, VP and VVp-wave production is clearly incompatible with experiment and we develop the formalism also in this case, producing the VP or VV pairs in s-wave. We compare our results with experiment and other theoretical approaches for rates and invariant mass distributions and make predictions for unmeasured decays. We show the value of these reactions, particularly if the \( M_{1} M_{2}\) mass distribution is measured, as a tool to learn about the meson-meson interaction and the nature of some resonances, coupling to two mesons, which are produced in such decays.

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of PhysicsLiaoning Normal UniversityDalianChina
  2. 2.Departamento de Física Teórica and IFICCentro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de PaternaValenciaSpain
  3. 3.Institute of Theoretical PhysicsCASBeijingChina

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