Physics potential for the measurement of sigma(Hvv)*BR(H->mu+mu-) at a 1.4 TeV CLIC collider

The potential for the measurement of the branching ratio of the Standard Model-like Higgs boson decay into a mu+mu- pair at 1.4 TeV CLIC is analysed. The study is performed using the fully simulated CLIC_ILD detector concept, taking into consideration all the relevant physics and the beam-induced backgrounds. Despite the very low branching ratio of the H->mu+mu- decay, we show that the product of the branching ratio times the Higgs production cross section can be measured with a statistical uncertainty of 38 percent, assuming an integrated luminosity of 1.5 ab^-1 collected in five years of the detector operation at the 1.4 TeV CLIC with unpolarised beams. With polarised beams (-80%, +30%), the statistical uncertainty is better than 25%.