Physics at the Large Hadron Collider is dominated by enormous amounts of strongly
integrating radiation which must be modelled precisely using Quantum Chromodynamics (QCD).
Experiments continue to gather data and reduce errors on their measurements, challenging the theoretical
predictions and probing our understanding of the Standard Model.
The fundamental building blocks for these predictions are perturbative scattering amplitudes. The complexity
of these objects - especially when considering the necessary quantum corrections - can grow quickly beyond the
reach of traditional methods. Understanding the mathematical structure of scattering amplitudes has often
led to new developments which can some of which are now at work in experimental analyses.
I will take a look at some modern methods for scattering amplitude computations
and their role in making precision predictions at the LHC.