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We compute the decay widths for the neutral and singly-charged Higgs bosonsin the Georgi-Machacek model into the final states $\gamma\gamma$, $Z\gamma$,and $W\gamma$. These decays are most phenomenologically interesting for thefermiophobic custodial fiveplet states $H_5^0$ and $H_5^{\pm}$ when theirmasses are below threshold for decays into $WW$, $ZZ$, or $WZ$. We study theallowed branching ratios into these final states using scans over the allowedparameter space, and show how the model can be constrained by LEP searches fora fermiophobic Higgs boson decaying to two photons. The calculation involvesevaluating one-loop diagrams in which the loop contains particles with twodifferent masses, some of which do not appear in the existing literature. Wegive results for these diagrams in a form convenient for numericalimplementation using the LoopTools package.

Scalar decays to $\gamma\gamma$, $Z\gamma$, and $W\gamma$ in the Georgi-Machacek model