NNLO+PS Double Higgs boson production with top-quark mass corrections in GENEVA

Abstract: We present the implementation of the NNLO QCD corrections to double Higgs boson production at hadron colliders in GENEVA, matched to the parton shower. We include all the known top-quark mass effects and the resummation of large logarithms of the zero-jettiness $\mathcal{T}_0$, up to NNLL$^\prime$ accuracy. This work extends our previous study, which was performed in the $m_t\to \infty$ infinite top-quark mass approximation, providing a more realistic simulation framework for Higgs boson pair production. We validate our approach against NNLO predictions by MATRIX and assess the importance of mass effects comparing with our $m_t\to \infty$ previous implementation.