arXiv · 1010.0224
$τ^-\toηπ^-π^0ν_τ$ and $σ(e^+e^-\to ηπ^+π^-)$ at low energies
Abstract
We analyze the hadronization structure of $τ\to ηπ^- π^0 ν_τ$ decays. In the isospin limit only the vector current contributes to this process. We compute the relevant form factor within Resonance Chiral Theory, at leading order in the $1/N_C$ expansion, and considering only the contribution of the lightest vector resonances. The couplings in the resonance theory are constrained by imposing the asymptotic behaviour of vector spectral functions ruled by $QCD$. We reproduce the branching ratio of this mode and predict the low-energy behaviour of $σ\left(e^+e^-\toηπ^+π^-\right)$ using isospin symmetry.
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P. Roig. 2010-10-01. $τ^-\toηπ^-π^0ν_τ$ and $σ(e^+e^-\to ηπ^+π^-)$ at low energies. https://doi.org/10.1016/j.nuclphysbps.2010.10.037
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