Lagrangian terms can now be written as: $$\mathcal{L} \supset \sum_{i,j} \nu_i e_j \l'_{ij}.$$

The Vacuum expectation values (VEVs) of the Higgs fields are given as: $$\left<\phi_1^0\right>=v_1,~\left<\phi_2^0\right>=v_2,~\left<H_R^0\right>=v_R,~\left<H_L^0\right>=v_L,$$ with the effective EW VEV given as $v_{EW}=\sqrt{v_1^2+v_2^2+v_L^2}$. Without loss of generality, one of the bidoublet VEVs can be chosen to be small. Also since $v_L$ does not contribute to the top mass, a large $v_L$ would automatically require a large top Yukawa coupling resulting in the theory being non-perturbative at quite low scales. The hierarchy in the VEVs thus has been chosen such that $$v_R>>v_1>v_2,v_L.$$

The gauge sector of the model consist of two charged $W_R^\pm$ and $W^\pm$ gauge bosons and three neutral bosons including the $Z_R$, $Z$ and the photon. The $W_R^\pm$ and the $Z_R$ bosons get their masses at the right-handed symmetry breaking scale and remain heavy while the others are the same as in the SM. The heavy gauge boson masses in this model are given as: $$\begin{aligned}
M^2_{W_R^\pm} &&\simeq \frac{1}{2} g_R^2 (v_R^2+v_1^2+v_2^2), ~~~~M^2_{Z_R} \simeq \frac{1}{2} \left[(g_R^2+g_V^2) v_R^2+ \frac{g_R^4(v_1^2+v_2^2)+g_V^4 v_L^2}{g_R^2+g_V^2} \right],~~~~~~
\label{eq:ZR}\end{aligned}$$ where $g_R$ and $g_V$ are the $SU(2)_R$ and $U(1)_{B-L}$ gauge couplings respectively. The left-handed (SM-like) gauge boson masses are given by their usual expressions with the effective $U(1)_Y$ 