We study the effects of the exact top-quark mass dependent two-loop corrections to Higgs boson pair production by gluon fusion at the LHC and at a 100 TeV hadron collider. We perform a detailed comparison of the full next-to-leading order result to various approximations at the level of differential distributions and also analyse non-standard Higgs self-coupling scenarios. We find that the different next-to-leading order approximations differ from the full result by up to 50 percent in relevant differential distributions. This clearly stresses the importance of the full NLO result.
@article{arxiv.1608.04798,
title = {Full top quark mass dependence in Higgs boson pair production at NLO},
author = {S. Borowka and N. Greiner and G. Heinrich and S. P. Jones and M. Kerner and J. Schlenk and T. Zirke},
journal= {arXiv preprint arXiv:1608.04798},
year = {2016}
}