Amplitude-based IR-improvement in precision LHC/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/FCC physics, we focus on specific examples, such as the removal of QED contamination in PDF’s evolved from data at Q$^{2}_{0} \sim$ 2GeV$^{2}$ and used in the evaluating precision observables in pp $\to$ Z + X $\to \ell \bar{\ell}$ + X', in which we discuss new results and new issues.