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We analyze, in the antenna subtraction framework, the real radiation antennafunctions for processes involving the production of a pair of heavy quarks andtwo gluons by an uncolored initial state at NNLO QCD. We provide explicitexpressions for these functions and discuss their infrared singular behaviour.Our main results are the corresponding integrated antenna functions which arecomputed analytically. They are expressed in terms of harmonic polylogarithms.

The real radiation antenna functions for $S\rightarrow Q\bar{Q}gg$ at NNLO QCD