Probing theWWZvertex at as=500GeVe+e−collider

We study the precision measurement of the $\mathrm{WW}{Z}^0$ vertex in the process $e^{+}{e}^{-}\to \nu \overline{\nu }{\mu }^{+}{\mu }^{-}$ at a $\sqrt{s}=500\mathrm{}$ GeV $e^{+}{e}^{-}$ collider. We find that this process can be used to make a precise determination of the trilinear gauge boson couplings. Assuming an integrated luminosity of 2 ${\mathrm{fb}}^{-1\mathrm{}}$, in the reaction $e^{+}{e}^{-}\to \nu \overline{\nu }{\mu }^{+}{\mu }^{-}$, ${\kappa }_Z$ can be measured to 10% at the 95% C.L. and ${\lambda }_Z$ to ±0.07 at 95% C.L. With the appropriate cuts on $M_{{\mu }^{+}{\mu }^{-}},{{\Delta \kappa }_Z=}_{-0.4\mathrm{}}^{+0.3\mathrm{}}$ and ${{\Delta \lambda }_Z=}_{-0.6\mathrm{}}^{+0.4\mathrm{}}$ at 95% C.L. independent of deviations in $\frac{\kappa }{\gamma }$ and ${\lambda }_{\gamma }$.