Search for Higgs boson pair production with one associated vector boson in proton-proton collisions at $$ \sqrt{s} $$ = 13 TeV

A search for Higgs boson pair (HH) production in association with a vector boson V (W or Z boson) is presented. The search is based on proton-proton collision data at a center-of-mass energy of 13 TeV, collected with the CMS detector at the LHC, corresponding to an integrated luminosity of 138 fb − 1 . Both hadronic and leptonic decays of V bosons are used. The leptons considered are electrons, muons, and neutrinos. The HH production is searched for in the $$ \textrm{b}\overline{\textrm{b}}\textrm{b}\overline{\textrm{b}} $$ b b ¯ b b ¯ decay channel. An observed (expected) upper limit at 95% confidence level of VHH production cross section is set at 294 (124) times the standard model prediction. Constraints are also set on the modifiers of the Higgs boson trilinear self-coupling, k λ , assuming k 2V = 1, and vice versa on the coupling of two Higgs bosons with two vector bosons, k 2V . The observed (expected) 95% confidence intervals of these coupling modifiers are − 37.7 < k λ < 37.2 ( − 30.1 < k λ < 28.9) and − 12.2 < k 2V < 13.5 ( − 7.2 < k 2V < 8.9), respectively.