The real-virtual antenna functions for $S\to Q\bar{Q}X$ at NNLO QCD

We determine, in the antenna subtraction framework for handling infrared divergences in higher order QCD calculations, the real-virtual antenna functions for processes involving the production of a pair of massive quarks by an uncolored initial state at NNLO QCD. The integrated leading and subleading color real-virtual antenna functions are computed analytically in terms of (cyclotomic) harmonic polylogarithms. As a by-product and check we compute $R_Q=\sigma(e^+e^-\to \gamma^\to Q\bar{Q}X)/\sigma(e^+e^-\to \gamma^\to\mu^+\mu^-)$andcomparewithexistingresults\mathrm{.}Ourresultfor$R_Q$isexacttoorder$\alpha_s^2$.