We report the results of a search for a narrow resonance decaying into two photons in 1.1 fb−1 of data collected by the D0 experiment at the Fermilab Tevatron Collider during the period 2002–2006. We find no evidence for such a resonance and set a lower limit on the mass of a fermiophobic Higgs boson of mhf>100 GeV at the 95% C.L. This exclusion limit exceeds those obtained in previous searches at the Fermilab Tevatron and covers a significant region of the parameter space B(hf→γγ) vs mhf which was not accessible at the CERN Large Electron-Positron Collider.Received 12 March 2008DOI:https://doi.org/10.1103/PhysRevLett.101.051801©2008 American Physical Society