Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel

A bstract We present a complete set of analytic helicity amplitudes for top quark pair production via gluon fusion at two-loops in QCD. For the first time, we include corrections due to massive fermion loops which give rise integrals over elliptic curves. results missing master needed compute amplitude and obtain an form finite remainders terms iterated using rationalised kinematics field sampling. also study numerical evaluation integrals.