Amplitude-Based IR-Improvement in Precision LHC$/$FCC Physics
B. F. L. WardBaylor University, Waco, TX, USAS. JadachInstitute of Nuclear Physics, Krakow, PLW. PłaczekInstitute of Applied Computer Science, Jagiellonian University, Krakow, PLM. SkrzypekInstitute of Nuclear Physics, Krakow, PLZ. WasInstitute of Nuclear Physics, Krakow, PLS. A. YostThe Citadel, Charleston, SC, USA
ABI
Abstract
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 PDFs evolved from data at ${Q_0}^2 \sim 2\; {\text{GeV}}^2$ and used in the evaluating precision observables in $pp \rightarrow Z + X \rightarrow \ell\bar{\ell} + X'$, in which we discuss new results and new issues.
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