Analytics from numerics: five-point QCD amplitudes at two loops

The operation of the Large Hadron Collider (LHC) has been a great success with Run 1 culminating in the discovery of the Higgs boson by the ATLAS and CMS experiments in 2012. In Run 2, the LHC experiments have moved towards performing high precision measurements with uncertainties reaching below percent level for certain observables. Looking forward to the Future Circular Collider with electron beams (FCC-ee), which will operate in the experimentally much cleaner environment of electron-positron initial states, there will be an even more dramatic increase in experimental precision. In order to exploit the precision measurements, the theory community will need to provide high-precision predictions that match the experimental uncertainties. This requires the development of efficient ways to compute these corrections, breaking through the current computational bottlenecks.