Search for Higgs boson pair production in the $\mathrm{b\bar{b}WW}$ decay channel with two leptons in the final state using proton-proton collision data at $\sqrt{s}$ = 13.6 TeV

A search for non-resonant Higgs boson pair production is presented, targeting final states where one Higgs boson decays to a pair of bottom quarks and the other Higgs boson decays to two W bosons, both of which decay leptonically (to an electron or a muon, and a neutrino). For the first time, the search is conducted with proton-proton collision data from the LHC at $\sqrt{s}=13.6\,\mathrm{TeV}$. The data have been recorded by the CMS detector in 2022 and 2023, and correspond to an integrated luminosity of $62\,\mathrm{fb}^{-1}$. The data are consistent with standard model predictions. An upper limit is set on the Higgs boson pair production cross section of 12.0 times the standard model prediction at the 95% confidence level, with an expected limit of 18.5. The results are also used to constrain the strength of the trilinear coupling of the Higgs boson as well as of the quartic coupling between two Higgs bosons and two vector bosons.