Search for Higgs Boson Pair Production in the Multi-lepton Final State Using Proton-Proton Collision Data at $sqrt{s} =13$ TeV with the ATLAS Detector

This talk will present a search strategy for Higgs boson pair-production in final states with three electrons or muons. The analysis is performed using an integrated luminosity of 139 fb$^{-1}$ of $pp$ collision at $sqrt{s}= 13$ TeV collected by the ATLAS detector at the LHC. This analysis focuses on decays of Higgs boson pairs that occur with small branching ratios, which are generally not covered by dedicated analyses. Some example modes of particular interest for a three lepton final state are WWWW, WW$ au au$, $ au au au au$, etc. This talk presents the development of a multivariate strategy (boosted decision trees) and current work on background estimation methods and statistical analysis.