Precision Test of the Muon Yukawa Coupling at a High-energy Muon Collider

An open question in particle physics is whether the Higgs mechanism generatesthe masses of all the fermions by the Yukawa interactions. We propose to scrutinize themuon Yukawa coupling at a high-energy muon collider. By the subtle interplay between themuon Yukawa coupling in the high-energy production of multiple (vector and Higgs) bosonswe show that it is possible to measure the muon Yukawa coupling to an accuracy of ten percent