Antenna subtraction with massive fermions at NNLO: double real initial-final configurations

We derive the integrated forms of specific initial-final tree-level four-parton antenna functions involving a massless initial-state parton and a massive final-state fermion as hard radiators. These antennae are needed in the subtraction terms required to evaluate the double real corrections to t (t) over bar hadronic production at the NNLO level stemming from the partonic processes q (q) over bar -> t (t) over barq'(q) over bar' and gg -> t (t) over barq (q) over bar.