  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.
