Search for a Fermiophobic Higgs Boson Decaying into Diphotons inpp¯Collisions ats=1.96TeV

A search for a narrow diphoton mass resonance is presented based on data from $3.0{\mathrm{fb}}^{-1}$ of integrated luminosity from $p\overline{p}$ collisions at $\sqrt{s}=1.96\mathrm{TeV}$ collected by the CDF experiment. No evidence of a resonance in the diphoton mass spectrum is observed, and upper limits are set on the cross section times branching fraction of the resonant state as a function of Higgs boson mass. The resulting limits exclude Higgs bosons with masses below $106\mathrm{GeV}/c^2$ at a 95% Bayesian credibility level for one fermiophobic benchmark model.