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Weak interactions include only the left neutrinos (and right antineutrinos). It means that all neutrino-interaction terms in the Lagrangian also consist only the left particles (and right antiparticles), because $\bar{\Psi}\gamma^{\mu}\Phi_{R, L} = \bar{\Psi}_{R, L}\gamma^{\mu}\Phi_{R, L}$. It means that the charged current terms \$L_{\int}^{CC} = g ...