NNLO QCD subtraction for top-antitop production in the q q ¯ qq‾ q\overline{q} channel

We present the computation of the double real and real-virtual contributions to top-antitop pair production in the quark-antiquark channel at leading colour. The q q ¯ $$q\overline{q}$$ → t t ¯ g $$t\overline{t} g$$ amplitudes contributing to the real-virtual part are computed with O pen L oops , and their numerical stability in the soft and collinear regions is found to be sufficiently high to perform a realistic NNLO calculation in double precision. The subtraction terms required at real-real and real-virtual levels are constructed within the antenna subtraction formalism extended to deal with the presence of coloured massive final state particles. We show that those subtraction terms approximate the real-real and real-virtual matrix elements in all their singular limits