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We evaluate all two-point correlation functions of the Curci-Ferrari (CF)model in four dimensions and in the presence of mass-degenerate fundamentalquark flavors, as a natural extension of an earlier investigation in thequenched approximation. In principle, the proper account of chiral symmetrybreaking ($\chi$SB) and the corresponding dynamical generation of a quark massfunction within the CF model requires one to go beyond perturbation theory\cite{Pelaez:2020ups}. However, it is interesting to assess whether aperturbative description applies to correlation functions that are not directlysensitive to $\chi$SB, such as the gluon, ghost and quark dressing functions.We compare our two-loop results for these form factors to QCD lattice data inthe two flavor case for two different values of the pion mass, one that isrelatively far from the chiral limit, and one that is closer to the physicalvalue. Our results confirm that the QCD gluon and ghost dressing functions arewell described by a perturbative approach within the CF model, as alreadyobserved at one-loop order in Ref. \cite{Pelaez:2014mxa}. Our new main resultis that the quark dressing function is also well captured by the perturbativeapproach, but only starting at two-loop order, as also anticipated in Ref.\cite{Pelaez:2014mxa}. The quark mass function predicted by the CF model attwo-loop order is in good agreement with the data if the quarks are not toolight but shows some clear tension with respect to the two-loop CF dressingfunctions in the close to physical case, as expected. Interestingly, however,we find that there is much less tension between the non-perturbative quark massfunction, as it can be obtained from lattice simulations or from\cite{Pelaez:2020ups}, and the two-loop CF dressing functions, which confirmsthe perturbative nature of the latter.

Two-loop corrections to the QCD propagators within the Curci-Ferrari model