Rare kaon decay $K^{+}\to {\pi }^{-}{\mu }^{+}{\mu }^{+}$ as the key event for the right-handed weak interaction effects

We discuss on the search for the right-handed weak interaction effects in the SU(2)${}_L\times$SU(2)${}_R$ model with lepton doublets $({\nu }_{\mathrm{\ell }},{\mathrm{\ell }}^{-}{)}_L$ and $(N_{\mathrm{\ell }},{\mathrm{\ell }}^{-}{)}_R$ ($\mathrm{\ell }=e,\mu ,\tau )$. We will point out that only the chance of the observation of the right-handed weak interaction effect will be in the rare decay $K^{+}\to {\pi }^{-}{\mu }^{+}{\mu }^{+}$.