${{\mathit \tau}^{-}}$ $\rightarrow$ 2 ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{0}}{{\mathit \nu}_{{{\tau}}}}$ (ex.${{\mathit K}^{0}}$, ${{\mathit \eta}}$, ${{\mathit \omega}}$, ${{\mathit f}_{{{1}}}{(1285)}}$)   Decay Mode Summary INSPIRE   JSON  (beta) PDGID:
S035.320
Mode (*) Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/
Conf. Level		 P(MeV/c)  
$\Gamma_{89}$ ${{\mathit \tau}^{-}}$ $\rightarrow$ 2 ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{0}}{{\mathit \nu}_{{{\tau}}}}$ (ex.${{\mathit K}^{0}}$, ${{\mathit \eta}}$, ${{\mathit \omega}}$, ${{\mathit f}_{{{1}}}{(1285)}}$) ($1.4$ $\pm2.7$) $ \times 10^{-5}$
Category: Modes with three charged particles
Note: Basis mode for the ${{\mathit \tau}}$.
The following data is related to the above value:
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$\Gamma({{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}$2 ${{\mathit \pi}^{0}}{{\mathit \nu}_{{{\tau}}}}$ (ex.${{\mathit K}^{0}}))/\Gamma({{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{}\geq{}$0 neutrals ${}\geq{}0{{\mathit K}_L^0}$ ${{\mathit \nu}_{{{\tau}}}}$ $)$
$\Gamma_{84}/\Gamma_{62}$
$\Gamma({{\mathit \tau}^{-}}$ $\rightarrow$ 2 ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{0}}{{\mathit \nu}_{{{\tau}}}}$ (ex.${{\mathit K}^{0}}))/\Gamma_{\text{total}}$
$\Gamma_{87}/\Gamma$
$\Gamma({{\mathit \tau}^{-}}$ $\rightarrow$ 2 ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{0}}{{\mathit \nu}_{{{\tau}}}}$ (ex.${{\mathit K}^{0}}$ , ${{\mathit \eta}}$ , ${{\mathit \omega}}$ , ${{\mathit f}_{{{1}}}{(1285)}}$) $)/\Gamma_{\text{total}}$
$\Gamma_{89}/\Gamma$
$\Gamma({{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit \omega}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{{\tau}}}})/\Gamma({{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{}\geq{}$0 neutrals ${}\geq{}0{{\mathit K}_L^0}$ ${{\mathit \nu}_{{{\tau}}}}$ $)$
$\Gamma_{180}/\Gamma_{62}$
$\Gamma({{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{{\mathit \nu}_{{{\tau}}}}$ (ex.${{\mathit K}^{0}}))/\Gamma({{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{}\geq{}$0 neutrals ${{\mathit \nu}_{{{\tau}}}}$ (ex. ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ )(``3-prong'')$)$
$\Gamma_{65}/\Gamma_{63}$