Refining the scalar and tensor contributions in $\tau\to \pi\pi\pi\nu_\tau$ decays
| Autor: | Sanz-Cillero, Juan Jose, Shekhovtsova, Olga |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | JHEP 12 (2017) 080 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP12(2017)080 |
| Popis: | In this article we analyze the contribution from intermediate spin-0 and spin-2 resonances to the $\tau\to\nu \pi\pi\pi$ decay by means of a chiral invariant Lagrangian incorporating these mesons. In particular, we study the corresponding axial-vector form-factors. The advantage of this procedure with respect to previous analyses is that it incorporates chiral (and isospin) invariance and, hence, the partial conservation of the axial-vector current. This ensures the recovery of the right low-energy limit, described by chiral perturbation theory, and the transversality of the current in the chiral limit at all energies. Furthermore, the meson form-factors are further improved by requiring appropriate QCD high-energy conditions. We end up with a brief discussion on its implementation in the Tauola Monte Carlo and the prospects for future analyses of Belle's data. Comment: 32 pages, 13 figures. Extended discussion on the numerical importance of the tensor and scalar resonances and the parametrization of the scalar propagator. Version published in JHEP |
| Databáze: | arXiv |
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