Double Higgs production at NNLO interfaced to parton showers in GENEVA
Simone Alioli, Georgios Billis, Alessandro Broggio, Alessandro, Gavardi, Stefan Kallweit, Matthew A. Lim, Giulia Marinelli, Riccardo Nagar,, Davide Napoletano

TL;DR
This paper presents a detailed calculation of Higgs boson pair production at NNLO in QCD, matched with parton showers using the Geneva framework, incorporating advanced resummation techniques and extending shower interfaces.
Contribution
It introduces a NNLO+PS calculation for double Higgs production in the heavy-top limit within the Geneva framework, including resummation of large logarithms and extending shower interfaces to multiple generators.
Findings
Achieved NNLO accuracy matched with parton showers for Higgs pair production.
Extended shower interface to include Dire and Sherpa.
Demonstrated the importance of resummation in high-momentum transfer processes.
Abstract
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 \textsc{Geneva} framework and working in the heavy-top-limit approximation. This includes the resummation of large logarithms of the zero-jettiness 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 \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 \textsc{Pythia8} to include other parton showers, such as \textsc{Dire} and \textsc{Sherpa}.
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