${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}},{{\mathit \omega}},{{\mathit \eta}}$)  Decay Mode Summary INSPIRE   PDGID:
S035.341
Mode (*) Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/
Conf. Level		 P(MeV/c)  
$\Gamma_{103}$ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}},{{\mathit \omega}},{{\mathit \eta}}$) ($3.9$ $\pm1.4$) $ \times 10^{-4}$ 763
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}^{+}}{}\geq{}$0 neutrals ${{\mathit \nu}_{{\tau}}}$ (ex. ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ )(``3-prong'')$)/\Gamma_{\text{total}}$
$\Gamma_{63}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{{\mathit \nu}_{{\tau}}}$ (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'')$)$
$\Gamma_{65}/\Gamma_{63}$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{}\geq{}$1 neutrals ${{\mathit \nu}_{{\tau}}}$ $)/\Gamma_{\text{total}}$
$\Gamma_{71}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{}\geq{}$1 ${{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex. ${{\mathit K}^{0}}))/\Gamma_{\text{total}}$
$\Gamma_{72}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ $)/\Gamma_{\text{total}}$
$\Gamma_{73}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}}))/\Gamma_{\text{total}}$
$\Gamma_{74}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex. ${{\mathit K}^{0}}$ , ${{\mathit \omega}}))/\Gamma_{\text{total}}$
$\Gamma_{75}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\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 ${}\geq{}0{{\mathit K}_L^0}$ ${{\mathit \nu}_{{\tau}}}$ $)$
$\Gamma_{84}/\Gamma_{62}$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit h}^{+}}{{\mathit h}^{-}}{}\geq{}$0 neutrals ${{\mathit \nu}_{{\tau}}}$ $)/\Gamma_{\text{total}}$
$\Gamma_{90}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit h}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}}))/\Gamma_{\text{total}}$
$\Gamma_{92}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit h}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}}))/\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}}))$
$\Gamma_{92}/\Gamma_{77}$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{}\geq{}$0 neutrals ${{\mathit \nu}_{{\tau}}}$ $)/\Gamma_{\text{total}}$
$\Gamma_{93}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{}\geq{}0{{\mathit \pi}^{0}}$ ${{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}}))/\Gamma_{\text{total}}$
$\Gamma_{94}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ $)/\Gamma_{\text{total}}$
$\Gamma_{99}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}}))/\Gamma_{\text{total}}$
$\Gamma_{100}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}},{{\mathit \eta}}))/\Gamma_{\text{total}}$
$\Gamma_{101}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}},{{\mathit \omega}},{{\mathit \eta}}))/\Gamma_{\text{total}}$
$\Gamma_{103}/\Gamma$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit X}^{-}}$ ($\mathit S=-1$) ${{\mathit \nu}_{{\tau}}}$ $)/\Gamma_{\text{total}}$
$\Gamma_{134}/\Gamma$
$\lbrack{}\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \omega}}{{\mathit \nu}_{{\tau}}}$ $)$+ $\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \omega}}{{\mathit \nu}_{{\tau}}}$ $)\rbrack{}/\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit h}^{-}}{{\mathit h}^{+}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ (ex.${{\mathit K}^{0}}))$
($\Gamma_{178}$+ $\Gamma_{179})/\Gamma_{74}$
$\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit h}^{-}}{{\mathit \omega}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ $)/\Gamma($ ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\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}^{+}}{}\geq{}$0 neutrals ${}\geq{}0{{\mathit K}_L^0}$ ${{\mathit \nu}_{{\tau}}}$ $)/\Gamma_{\text{total}}$
$\Gamma_{62}/\Gamma$