Analysis of some observable effects of weak neutral currents coupled to charged leptons

We have analyzed the parity-violating effects in the processes $e+\overline{e}\to k_1+k_2+X$, $k_1+k_2\to e+\overline{e}+X$, and $e+k_1\to e+k_2+X$, where $e$, $\overline{e}$ are the electron, positron states, $k_1$ $k_2$ are the hadron states, and $X$ is the inclusive hadron state, due to the possible coupling of weak neutral currents to charged leptons. We estimate that for gauge theories of the weak interaction, the parity-violating asymmetry parameter for the distribution in $e+\overline{e}\to {\pi }^{+}+{\pi }^{-}+{\pi }^0$ may be of the order of 5% in the resonance region of the $A_1$ meson and experimentally observable.