<ul data-eligibleForWebStory="true">Muon colliders offer advantages over proton colliders for cleaner collisions.Particles in momentum eigenstates enable known center-of-mass energy for each collision.Predictions involve PDF convolutions, with muon collider simplifications discussed in detail.Theoretical advancements facilitate perturbative control, enhancing accuracy and simplifying calculations.The paper delves into muon collider physics, covering gauge boson collisions at high energy.