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We introduce, within the Refined-Gribov-Zwanziger setup, a composite BRSTinvariant fermionic operator coupled to the inverse of the Faddeev-Popovoperator. As a result, an effective BRST invariant action in Euclideanspace-time is constructed, enabling us to pave the first step towards the studyof the behaviour of the fermion propagator in the infrared region in the classof the linear covariant gauges. The aforementioned action is proven to berenormalizable to all orders by means of the algebraic renormalizationprocedure.

An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges