Higgs-photon production at \mu\bar{\mu} colliders

We present cross sections for the reaction $\mu\bar{\mu}\to H\gamma$ over a range of $\mu\bar{\mu}$ collider energies. The amplitudes for this process receive tree level contributions and one-loop contributions, which are of comparable magnitude. The tree level amplitudes are dominated by helicity non-flip terms and the one-loop amplitudes are dominated by helicity flip terms. As a consequence, the interference terms between the tree level and one-loop contributions are negligible. For a 500 GeV $\mu\bar{\mu}$ collider, the cross section for $H\gamma$ associated production approaches 0.1 fb.