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I will present the Next-to-next-to-leading order QCD massive corrections, induced by the top quark, to di-photon production in proton-proton collisions. This process is very important as a test of perturbative QCD and as a background process for the decay of a Higgs into two photons. All the
involved partonic subprocesses are taken into account; in particular the quark-antiquark annihilation channel, which has required the computation of new two-loop Master Integrals, evaluated using the differential equations method, in the semi-analitical approach based on generalised power series
expansion. I will then present a phenomenological study of the impact of these corrections for the invariant mass distribution of the two photons.
Based on https://arxiv.org/abs/2308.10885
and https://arxiv.org/abs/2308.11412