This thesis develops fundamental ideas and advanced techniques for studying the Higgs boson’s interactions with the known matter and force particles. The Higgs boson appears as an excitation of the Higgs field, which permeates the vacuum. Several other phenomena in our Universe, such as dark energy, dark matter, and the abundance of matter over antimatter, remain unexplained. The Higgs field may prove to be the connection between our known world and the “dark” world, and studies of the Higgs boson's interactions are essential to reveal possible new phenomena. The unique feature of...