$\tau^-\to\eta\pi^-\pi^0\nu_\tau$ and $\sigma(e^+e^-\to \eta\pi^+\pi^-)$ at low energies

We analyze the hadronization structure of $\tau \to \eta \pi^- \pi^0 \nu_\tau$ 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 $Q C D$ . We reproduce the branching ratio of this mode and predict the low-energy behaviour of $σ (e^{+} e^{-} \to η π^{+} π^{-})$ using isospin symmetry.

$τ^{-} \to η π^{-} π^{0} ν_{τ}$ and $σ (e^{+} e^{-} \to η π^{+} π^{-})$ at low energies

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$τ^{-} \to η π^{-} π^{0} ν_{τ}$ and $σ (e^{+} e^{-} \to η π^{+} π^{-})$ at low energies

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τ−→ηπ−π0νττ−→ηπ−π0ντ​ and σ(e+e−→ηπ+π−)σ(e+e−→ηπ+π−) at low energies

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τ−→ηπ−π0νττ−→ηπ−π0ντ​ and σ(e+e−→ηπ+π−)σ(e+e−→ηπ+π−) at low energies

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$τ^{-} \to η π^{-} π^{0} ν_{τ}$ and $σ (e^{+} e^{-} \to η π^{+} π^{-})$ at low energies

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$τ^{-} \to η π^{-} π^{0} ν_{τ}$ and $σ (e^{+} e^{-} \to η π^{+} π^{-})$ at low energies

讲解博客

AI智能校验