Overview of IR-Improvement in Precision LHC/FCC Physics

TL;DR

This paper reviews methods for improving infrared behavior in high-energy physics calculations using amplitude-based resummation, with applications to precision LHC and FCC experiments.

Contribution

It introduces IR-improvement techniques for unintegrable singularities in QED and QCD within the context of high-precision collider physics.

Findings

Demonstrates IR-improvement in specific examples

Discusses new results in amplitude resummation

Identifies new issues in IR behavior modeling

Abstract

We present an overview of the use of IR-improvement of unintegrable singularities in the infrared regime via amplitude-based resummation in $\mathrm{QED} \times \mathrm{QCD}$ $\subset$ $\mathrm{SU}(2)_L \times \mathrm{U}_1 \times \mathrm{SU}(3)^c$. We work in the context of precision LHC/FCC physics. While illustrating such IR-improvement in specific examples, we discuss new results and new issues.