${{\boldsymbol \tau}^{-}}$ $\rightarrow$ 2 ${{\boldsymbol \pi}^{-}}{{\boldsymbol \pi}^{+}}$3 ${{\boldsymbol \pi}^{0}}{{\boldsymbol \nu}_{{\tau}}}$ (ex.${{\boldsymbol K}^{0}}$, ${{\boldsymbol \eta}}$, ${{\boldsymbol \omega}}$, ${{\boldsymbol f}_{{1}}{(1285)}}$) INSPIRE search

$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\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 ${}\geq{}0{{\mathit K}_L^0}$ ${{\mathit \nu}_{{\tau}}}$ $)$
$\Gamma_{84}/\Gamma_{62}$
S035B25
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ 2 ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}}))/\Gamma_{\text{total}}$
$\Gamma_{87}/\Gamma$
S035C85
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ 2 ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}}$ , ${{\mathit \eta}}$ , ${{\mathit \omega}}$ , ${{\mathit f}_{{1}}{(1285)}}$) $)/\Gamma_{\text{total}}$
$\Gamma_{89}/\Gamma$
S035C87
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit \omega}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ $)/\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{}\geq{}$0 neutrals ${}\geq{}0{{\mathit K}_L^0}$ ${{\mathit \nu}_{{\tau}}}$ $)$
$\Gamma_{180}/\Gamma_{62}$
S035B26
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{{\mathit \nu}_{{\tau}}}$ (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'')$)$
$\Gamma_{65}/\Gamma_{63}$
S035B64