Summary
A search for a Higgs boson with suppressed couplings to fermions, ${h}_{f}$, assumed to be the neutral, lower-mass partner of the Higgs boson discovered at the Large Hadron Collider, is reported. Such a Higgs boson could exist in extensions of the standard model with two Higgs doublets, and could be produced via $p\overline{p}\ensuremath{\rightarrow}{H}^{\ifmmode\pm\else\textpm\fi{}}{h}_{f}\ensuremath{\rightarrow}{W}^{*}{h}_{f}{h}_{f}\ensuremath{\rightarrow}4\ensuremath{\gamma}+X$, where ${H}^{\ifmmode\pm\else\textpm\fi{}}$ is a charged Higgs boson. This analysis uses all events with at least three photons in the final state from proton-antiproton collisions at a center-of-mass energy of 1.96 TeV collected by the Collider Detector at Fermilab, corresponding to an integrated luminosity of $
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