Amplitude-Based IR-Improvement in Precision LHC$\mathrm{/}$FCC Physics

We present recent results based on the IR-improvement of unintegrable singularities in the infrared regime via amplitude-based resummation in $QED\times QCD\subset SU(2{)}_L\times U_1\times SU(3{)}_c$. In the context of precision LHC$\mathrm{/}$FCC physics, we focus on specific examples, such as the removal of QED contamination in PDFs evolved from data at ${Q_0}^2\sim 2{\text{GeV}}^2$ and used in the evaluating precision observables in $pp\to Z+X\to \mathrm{\ell }\bar{\mathrm{\ell }}+X^{\mathrm{\prime }}$, in which we discuss new results and new issues.