Computational challenges for multi-loop collider phenomenology

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.

29 pages, 1 figure, white paper contribution to the Snowmass 2021 computational frontier

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• Event Generators for High-Energy Physics Experiments
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• NNLO subtraction for any massless final state: a complete analytic expression
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist