Elastic neutrino-electron scattering and effective couplings $(g_V^{\nu e}{)}_{LRSM}$ and $(g_A^{\nu e}{)}_{LRSM}$ in a Left-Right symmetric model

We start from a Left-Right Symmetric Model with massive Dirac neutrinos, with an electromagnetic structure that consists of a charge radius, and we calculate the cross-section of the scattering ${\nu }_{\mu }{e}^{-}\to {\nu }_{\mu }{e}^{-}$. Subsequently, we calculate the simultaneous contribution of the charge radius, of the additional $Z_2$ heavy gauge boson and of the mixing angle $\varphi$ parameter of the model at the constants of couplings $(g_V^{\nu e}{)}_{LRSM}$ and $(g_A^{\nu e}{)}_{LRSM}$.