Abstract
In this article we analyze the contribution from intermediate spin-0 and spin-2 resonances to the τ → νπππ 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.
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Sanz-Cillero, J.J., Shekhovtsova, O. Refining the scalar and tensor contributions in τ → πππν τ decays. J. High Energ. Phys. 2017, 80 (2017). https://doi.org/10.1007/JHEP12(2017)080
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DOI: https://doi.org/10.1007/JHEP12(2017)080