• beyond the Standard Model physics
• composite Higgs model
• muon collider
• phenomenology

The topic covered in this thesis is the study of a fundamental Composite Higgs theory that addresses the hierarchy problem assuming the Higgs boson as a composite state. The realization of this model occurs through a strongly coupled dynamic generated by a new gauge symmetry and the presence of extra fermions in the ultraviolet regime. Due to the confinement effect, this gives rise to a rich spectrum of various states as pseudo-Nambu-Goldstone bosons at low energies. The particular focus is the study of preliminary tests of this model and its implications in a future high-energy Muon Collider (MuC) through phenomenological analysis and Monte Carlo simulations. We investigate the discovery prospects at the future collider of various new particles and resonances predicted by this specific model.