Abstract
We present cross sections for the reaction $\ensuremath{\mu}\overline{\ensuremath{\mu}}\ensuremath{\rightarrow}H\ensuremath{\gamma}$ over a range of $\ensuremath{\mu}\overline{\ensuremath{\mu}}$ 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 $\ensuremath{\mu}\overline{\ensuremath{\mu}}$ collider, the cross section for $H\ensuremath{\gamma}$ associated production approaches 0.1 fb.
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