I will present a novel method for the treatment of top-quark mass effects in the production of H(∗), HH, HZ and ZZ final states in gluon fusion. With this method it is possible to reconstruct the full top-quark mass dependence of the virtual amplitudes from the large-mt expansion and the non-analytic part of the amplitude near the top-quark threshold s = 4m2t with a Padé ansatz. The reliability of the method is demonstrated by a comparison with the recent NLO result for Higgs pair production with full top-quark mass dependence.
The talk will be based on https://arxiv.org/pdf/1709.07799.pdf
