The title says it all. I've seen an example worked out, and there mass was given to a gauge boson specifically. Also, I wouldn't know why the Higgs boson would want to give mass to the fermions, since they already have mass in the Yang-Mills theories; it's only the gauge bosons that initially lack mass whereas you would sometimes like them to be massive. Based on that, I would expect the answer to be "the Higgs field (only) gives mass to the gauge bosons", however, I've always heard "the Higgs field gives particles mass", implying it's the origin of the mass for all particles. So which of the two is it? EDIT: or somewhere in between, which to me seems the most logical: strictly speaking it only gives mass to the massless gauge bosons, but it actually changes the mass of all particles.