Heavy Mass Estimator in Resonant Higgs pair production in single lepton bbWW channel

In the study of searching for a new heavy resonanse that decays into a pair of Higgs bosons, specifically X → HH → bbWW → bblνqq (bblvlv), the critical components requiring precise measurement are the leptons (electrons and muons), jets, and neutrinos. The conventional method for determining neutrino energy, using Missing Transverse Momentum, relies on balancing the detected energy in the transverse plane of all reconstructed particles in the event. To address inaccuracies in neutrino energy measurement and to deal with the cancellation of momenta of two neutrinos in the final state, a new technique called the Heavy Mass Estimator (HME) was introduced in the CMS Run 2 analysis in the dilepton final state. This technique aims to calculate the most probable mass of X by maximizing the likelihood function using experimental observables in the final state. We are currently exploring the extension of HME to the single lepton final state, anticipating a significant improvement in sensitivity.