Comment on frequency- and temperature-dependent electron-phonon renormalization effects—A reply

Following Allen's comments, the authors discuss and clarify here some points of their theoretical calculation of electron-phonon effects in lead. It is numerically demonstrated that the low-energy part of ${\alpha }^{2}F\left(\omega \right)$ does not significantly contribute to $m^{*}\mathrm{}\left(T\right)\mathrm{}$ in the experimental $T$, $\omega$ domain. Moreover, using a calculation averaged more correctly, the authors obtain a good agreement with their experimental results when comparing $T$ and $\omega$ effects on $m^{*}(T,\omega )$.