Tests of Higgs Boson Couplings at a mu+mu- Collider

Abstract

We investigate the potential of a muon collider for testing the presence of anomalous Higgs boson couplings. We consider the case of a light (less than $160GeV$) Higgs boson and study the effects on the Higgs branching ratios and total width, which could be induced by the non standard couplings created by a class of dim=6 $SU(3)\times SU(2)\times U(1)$ gauge invariant operators satisfying the constraints imposed by the present and future hadronic and $e^{-}{e}^{+}$ colliders. For each operator we give the minimal value of the ${\mu }^{+}{\mu }^{-}$ integrated luminosity needed for the muon collider ($\mu C$) to improve these constraints. Depending on the operator and the Higgs mass, this minimal $\mu C$ luminosity lies between $0.1f{b}^{-1}$ and $100f{b}^{-1}$.

Comments: 18 pages and 4 figures; version to be published in Phys. Rev.D. e-mail: renard@lpm.univ-montp2.fr