Exploring the Higgs Potential Structure with Longitudinally Polarized Vector Bosons

The Higgs boson is crucial to the Standard Model (SM) of particle physics, explaining how fundamental particles receive mass through interactions with the Higgs field. The symmetry breaking mechanism within the Higgs potential, which gives mass to the weak force bosons, is crucial to understanding our universe's structure. However, limitations remain: classifying Higgs-related events and identifying Beyond Standard Model Physics (BSM) signals. Longitudinally polarized vector bosons are sensitive to BSM physics due to their energy-growing behavior in scattering. Yet, processes like pp→H+ZLZL+jj (VLVL , V = W+- or Z) remain underexplored due to small cross sections. This study explores modifying Higgs self, vector boson, and double vector boson coupling parameters (C3, CV, and C2V) in pp→H+ZLZL+jj, using both on-shell and off-shell Higgs bosons. The goal was to identify variables and coupling strengths that classify Higgs-related events. Monte-Carlo and detection simulations were done using MadGraph, Pythia, and Delphes. Events were filtered for Higgs-related phenomena, and high signal-to-background (S/B) highlighted discriminating variables across modified coupling strengths. Normalized plots revealed leptonic angular, b-jet distance, and diboson distance variables as the most discriminatory. Raw plots showed CV = ± 2 and C2V = ± 10 as key discriminators. Despite small cross sections, Raw S/B ratios exceeded 1 with BSM coupling strengths revealing potential for powerful BSM indicators. The findings of this study enhance Higgs coupling understanding, inform event selection criteria, and provide a framework for future collider experiments to explore the Higgs potential.