$\epsilon_L$, $\epsilon_{fR}$, $\epsilon_{tL}$, $\epsilon_{tR}$, and $M_D$. In addition, from the top-Higgs sector, we have $\lambda_t$, $\textrm{sin}\,\omega$ and the masses of the top-pion and the top-Higgs, $M_{\Pi_t}$ and $M_{H_t}$.

As discussed in [@Chivukula:2006cg], the value of the $W'$ mass is constrained to lie above 380 GeV by the LEP II measurement of the triple gauge boson vertex and to lie below 1.2 TeV by the need to maintain perturbative unitarity in $W_L W_L$ scattering. We will use the illustrative $M_{W'} = 500$ GeV in our calculations (except where noted otherwise) both for definiteness and because the value of the parameter $\epsilon_L$ is then derivable from $M_{W'}$ (and $x$) via ideal delocalization, as shown below.

In principle, the values of the various $\epsilon_{fR}$ are proportional to the masses of the light fermions; since we will be working in the limit $m_f \rightarrow 0$ for fermions other than the top quark, we will set $\epsilon_{fR}=0$. Similarly, since the top quark mass depends very little on $\epsilon_{tR}$ we will set $\epsilon_{tR}=0$ as well for simplicity. In this limit $M_D$ corresponds to the (degenerate) masses of the heavy fermionic partners of the light ordinary fermions, and is closely related (as shown in Appendix A) to 