Two-loop leading colour QCD corrections to $$ q\overline{q} $$ ? ??g and qg ? ??q

We present the leading colour and light fermionic planar two-loop corrections for production of two photons a jet in quark-antiquark quark-gluon channels. In particular, we compute interference amplitudes with corresponding tree level ones, summed over colours polarisations. Our calculation uses latest advancements algorithms integration-by-parts reduction multivariate partial fraction decomposition to produce compact easy-to-use results. have implemented our results an efficient C++ numerical code. also provide their analytic expressions Mathematica format.