New Approach to Hard Corrections in Precision QCD for LHC and FCC Physics

TL;DR

This paper introduces a novel method for implementing hard fixed-order corrections in high-energy QCD predictions, reducing unphysical divergences near the soft limit and improving agreement with observed distributions for LHC and FCC physics.

Contribution

The paper presents a new approach to handle hard corrections in QCD calculations, eliminating divergences and enhancing the accuracy of predictions for collider experiments.

Findings

Divergences near the soft limit are effectively removed.

The approach improves the agreement between theoretical predictions and experimental data.

Applicable to various processes, demonstrated with Z/ extgamma* production.

Abstract

We present a new approach to the realization of hard fixed-order corrections in predictions for the processes probed in high energy colliding hadron beam devices, with some emphasis on the LHC and the future FCC devices. We show that the usual unphysical divergence of such corrections as one approaches the soft limit is removed in our approach, so that we would render the standard results to be closer to the observed exclusive distributions. We use the single Z/\gamma* production and decay to lepton pairs as our prototypical example, but we stress that the approach has general applicability. In this way, we open another part of the way to rigorous baselines for the determination of the theoretical precision tags for LHC physics, with an obvious generalization to the future FCC as well.