higher than those for the breaking of $A_{4}$ and the SM gauge symmetries, namely $V_{S} \gg \langle S_{1}\rangle, \langle S_{3}\rangle, \langle H'_{1}\rangle$, and $\langle H'_{3}\rangle$, we can treat the vector field $l_{L+R,3}$ as being decoupled from the four chiral lepton generations, while their mixings can be ignored at leading order. If we set $V'_{3_1} = V'_{3_2} = V'_{3_3} = V'$ for simplicity, then we obtain the following charged lepton masses for the four generations $$\begin{aligned}
\label{chargemass}
m_{e} &=& 0 \quad {,} \quad m_{\mu} = \sqrt{3}Y_{4}V'  \;\;,\nonumber \\
m_{\tau} &=& \frac{1}{2}\Big[(Y_{5}V'_{1} + (Y_{6} - Y_{4})V') - \sqrt{(Y_{5}V'_{1} + (Y_{6} - Y_{4})V')^2 + 4Y_{4}(Y_{5}V'_{1} + 3Y_{6}V')V'} \Big] \;\;, \nonumber \end{aligned}$$ and $$\begin{aligned}
m_{\tau'} &=& \frac{1}{2}\Big[(Y_{5}V'_{1} + (Y_{6} - Y_{4})V') + \sqrt{(Y_{5}V'_{1} + (Y_{6} - Y_{4})V')^2 + 4Y_{4}(Y_{5}V'_{1} + 3Y_{6}V')V'} \Big] \;\;.
\label{tauprimemass}\end{aligned}$$ A $95\%$ C.L. lower mass limit for the heavy charged leptons is set around $100$ GeV [@Achard:2001qw] which can be used to give bounds on the unknown parameters in Eq.(\[tauprimemass\]). A finite electron mass can be generated via a 1-loop diagram through the intermediate vector fermions as illustrated in Fig. \[fig:e-mass\]. The result is similar to the many earlier attempts to calculate electron mass [@Georgi:1972hy; @Barr:1976bk; @Barr:1978rv; @Balakrishna:1988xg] or fermion 