Computational challenges for multi-loop collider phenomenology

TL;DR

This paper reviews recent advances in high-order perturbative calculations for collider physics, emphasizing the computational challenges and HPC requirements to achieve percent-level precision at the LHC and future colliders.

Contribution

It surveys state-of-the-art multi-loop calculations and highlights their specific high-performance computing needs for future collider phenomenology.

Findings

High-order calculations are essential for precision collider predictions.

Current computational methods face significant HPC challenges.

Future progress depends on tailored high-performance computing strategies.

Abstract

Precision measurements at the LHC and future colliders require theory predictions with uncertainties at the percent level for many observables. Theory uncertainties due to the perturbative truncation are particularly relevant and must be reduced to fully exploit the physics potential of collider experiments. In recent years the theoretical high energy physics community has made tremendous analytical and numerical advances to address this challenge. In this white paper, we survey state-of-the-art calculations in perturbative quantum field theory for collider phenomenology with a particular focus on the computational requirements at high perturbative orders. We show that these calculations can have specific high-performance-computing (HPC) profiles that should to be taken into account in future HPC resource planning.