Since the discovery of the Higgs boson in 2012, significant progress has been made in understanding its role in the universe. The dataset from the LHC Run 2 (2016–2018) has enabled many advanced Higgs boson analyses at CMS, achieving ultimate precision through statistical combinations. The results of these combinations serve as a powerful tool to address some of the most profound questions in particle physics.
In this talk, I will begin by introducing the statistical combination methodology employed by the CMS experiment. I will then showcase recent CMS Higgs boson combination results made public in the past year. The talk will focus first on a combination of fiducial differential cross-section measurements and highlight how these results can probe beyond-the-Standard Model physics using effective field theories. Additionally, I will discuss a recent combination of non-resonant di-Higgs production measurements and how these results shed light on the evolution of the early universe.