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Precise predictions for total and differential cross sections at hadron colliders
became an important corner stone of LHC physics. The lack of new
'smoking-gun' physics signals requires precise comparisons between
measurements and Standard Model predictions to get a handle on new
physics effects. For low multiplicity processes NNLO QCD (and possibly
combined with NLO-EW) has become the state-of-the-art. Multi-leg two-loop
amplitudes are the bottleneck for the computation of higher multiplicity
processes. I will discuss the calculation of 5 point amplitudes in a traditional
integration-by-parts approach and elaborate on the impact of NNLO QCD on
production of three photons at the LHC.