Double Higgs production at NNLO interfaced to parton showers in GENEVA

In this work, we study the production of Higgs boson pairs at next-to-next-to-leading order in QCD matched to parton showers, using the $\text{textsc}Geneva$ framework and working in the heavy-top-limit approximation. This includes the resummation of large logarithms of the zero-jettiness ${\mathcal{T}}_0$ up to the next-to-next-to-next-to-leading-log accuracy. This process features an extremely large momentum transfer, which makes its study particularly relevant for matching schemes such as that employed in $\text{textsc}Geneva$, where the resummation of a variable different from that used in the ordering of the parton shower is used. To further study this effect, we extend the original shower interface designed for $\text{textsc}Pythia8$ to include other parton showers, such as $\text{textsc}Dire$ and $\text{textsc}Sherpa$.