Two-loop master integrals for the planar QCD massive corrections to di-photon and di-jet hadro-production

We present the analytic calculation of the Master Integrals necessary to compute the planar massive QCD corrections to Di-photon (and Di-jet) production at hadron colliders. The master integrals are evaluated by means of the differential equations method and expressed in terms of multiple polylogarithms and one- or two-fold integrals of poly logarithms and irrational functions, up to transcendentality four.