Amplitude-Based IR-Improvement in Precision LHC$/$FCC Physics

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 $pp\to Z+X\to \ell \bar{\ell }+X^{\prime }$, in which we discuss new results and new issues.

6 pages, 4 figures, presented by BFLW at ICHEP 2024, Prague, CZ, July 18, 2024. arXiv admin note: substantial text overlap with arXiv:2410.06226