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

TL;DR

This paper introduces amplitude-based IR-improvement techniques for precision LHC/FCC physics, addressing infrared singularities in QED and QCD to enhance the accuracy of theoretical predictions.

Contribution

It presents a novel amplitude-based resummation method to improve infrared behavior in QED and QCD, specifically for precision collider physics applications.

Findings

Reduction of QED contamination in PDFs

Enhanced precision in Z boson production predictions

Identification of new issues in IR-improved calculations

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.