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Explore the theoretical landscape of Higgs triplet models and their compatibility with current Large Hadron Collider experimental data in this comprehensive physics lecture. Delve into the mechanisms of electroweak symmetry breaking beyond the Standard Model, focusing on scalar SU(2)L triplet extensions that leave detectable imprints on Higgs couplings to vector bosons and fermions. Examine the Georgi-Machacek model, which preserves custodial symmetry through explicit global SU(2)L × SU(2)R symmetry in the scalar potential, and contrast it with the extended Georgi-Machacek model that maintains custodial symmetry without imposing global symmetry constraints. Learn about the theoretical framework including next-to-leading-order unitarity conditions and bounded-from-below constraints on quartic couplings in the scalar potential. Discover how global fits combining Higgs signal strengths, direct search limits from ATLAS and CMS experiments at √s = 8 and 13 TeV, B-physics observables, and theoretical constraints determine viable parameter space regions. Analyze the allowed ranges for additional Higgs boson masses, mass differences, and constraints on triplet vacuum expectation values for both models. Investigate whether these models can accommodate recent experimental excesses around 95 GeV reported by CMS and ATLAS collaborations, and explore the theoretical limits on additional scalar resonance masses while maintaining consistency with observed data.
