Probing anomalous Higgs coupling through {mu}{sup +}{mu}{sup {minus}}{r_arrow}H{gamma}

The process {mu}{sup +}{mu}{sup {minus}}{r_arrow}H{gamma}, though small compared to the resonance process, could be observable at proposed muon colliders, given expected integrated luminosities. The apparently leading diagrams occur at tree-level, and are proportional to the Higgs-muon coupling. We show, however, that the one-loop contribution is comparable to the tree-level amplitude. Furthermore, the one-loop diagrams, unlike those at tree-level, could be greatly enhanced by possible anomalous Higgs-top quark or Higgs-gauge boson couplings. For a 500 GeV unpolarized muon collider, the total cross section for H{gamma} associated production approaches 0.1 fb. {copyright} {ital 1998 American Institute of Physics.}