$K$ one has $\left\langle V_{epi}(\mathbf{q})\right\rangle _{q}\approx33$ $meV$ and $\lambda_{m}^{(T_{c0})}\approx$ $0.18$. Since, $\lambda_{m}^{(ARPES)}\approx\lambda_{m}^{(T_{c0})}$ the consistency of the theory is satisfactory. Note, if one includes the wave-function renormalization effects (contained in $Z(i\omega_{n})>1$) then in the case $(T_{c0}/\Omega)\ll1$ and for the square-well solution $T_{c0}$ is lowered to $T_{c0}^{(Z)}=T_{c0}/Z^{2}(0)$, where $Z(0)\approx1+\lambda_{m}$ [@Dan-Dol-Kul-Oud]. This means, that the nonlinear corrections (with respect to $\lambda_{m})$ in $T_{c0}$ and $\Delta_{0}$ [@Johnston1-2], [@Murta] should be inevitably renormalized by the $Z$-renormalization.

Let us estimate the parameters ($\varepsilon_{\parallel},\varepsilon_{\perp
},q_{eff},h_{0}$) which enter in $T_{c0}$. In order to reach $T_{c0}\sim100$ $K$ (and $\left\langle V_{epi}(\mathbf{q})\right\rangle _{q}=4T_{c0}\sim400$ $K\approx33$ $meV$) then for $aq_{c}\approx0.2$ and $\Omega\approx90$ $meV$ one obtains $g_{0}\approx0.7$ $eV$. Having in mind that $g_{0}=(2\pi
n_{d}eq_{eff}/\varepsilon_{\perp}^{eff})(\hbar/M\Omega)^{1/2}$ and that the zero-motion oxygen amplitude is $(\hbar/M\Omega)^{1/2}\approx0.05$ Å and by assuming that $n_{d}\approx\alpha/s_{c}$, $s_{c}=\tilde{a}^{2}$, $\tilde
{a}=\sqrt{2}a\approx4$ Å, $q_{eff}\sim2e$, $\alpha\gtrsim1$, then in order to obtain $g_{0}\approx0.7$ $eV$ $\varepsilon_{\perp}^{eff}$ must be small, i.e. $\varepsilon_{\perp}^{eff}\sim1$. Since $aq_{c}=(a/h_{0})\sqrt
{\varepsilon_{\perp}^{eff}/\varepsilon_{\parallel}^{eff}}\sim0.2$ and for $(a/h_{0})\sim1$ it follows $\varepsilon_{\parallel}^{eff}\sim30$. Note, that in $SrTiO_{3\text{ }}$the bulk $\varepsilon$ is large, $\varepsilon
\sim500-10^{4}$. So, if $T_{c0}$ in $1ML$ $FeSe/SrTiO_{3}$ is due solely to the $EPI-FSP$ mechanism, then in the model where the oxygen vibrations in the single dipolar monolayer $TiO_{2\text{ }}$are responsible for the pairing potential the effective dielectric constants 