Recent Developments in IR-Improved Amplitude-Based Resummation in Precision High Energy Collider Physics

We present recent developments in precision high energy collider physics based on the IR-improvement of unintegrable singularities in the infrared regime via amplitude-based resummation in $QED\times QCD\subset SU(2{)}_L\times U_1\times SU(3{)}^c$. We focus on specific applications relevant to precision observables in LHC/FCC, LC, CLIC, CEPC, and CPPC physics, for which we present new results and some new issues.