A Muon Collider as a SUSY Higgs Factory

In the Minimal Supersymmetric (SUSY) Standard Model (MSSM) there are five Higgs bosons, the lightest of which $h^0$ will most likely be discovered at the Large Hadron Collider (LHC). However, for moderately large $tan\beta $ the heavier Higgs bosons $A^0$ and $H^0$ may have greatly suppressed couplings to gauge bosons. Discovery of these heavier Higgs bosons may not be possible at the LHC or at an $e^+e^-$ linear collider. In a muon collider Higgs bosons are produced through the $s$-channel, and even in the decoupling limit the couplings of the $A^0$ and $H^0$ to $\mu ^+\mu ^-$ are not suppressed. In this case a muon collider will be needed to discover the $A^0$ and $H^0$. In addition, these heavy Higgs bosons can be largely degenerate, and the very small center-of-mass energy spread of a muon collider will be necessary to separate them. A muon collider as a SUSY Higgs factory will be discussed.