The investigation of the properties of the Higgs boson, especially a test of
the predicted linear dependence of the branching ratios on the mass of the
final state is going to be an integral part of the physics program at colliders
at the energy frontier for the foreseeable future. The large Higgs boson
production cross section at a 3TeV CLIC machine allows for a precision
measurement of the Higgs branching ratios. The cross section times branching
ratio of the decays H->bb, H->cc and H->{\mu}{\mu} of a Standard Model Higgs
boson with a mass of 120 GeV can be measured with a statistical uncertainty of
0.23%, 3.1% and 15%, respectively, assuming an integrated luminosity of 2 ab-1.Comment: 6 pages, 4 figure