Decays of a fermiophobic Higgs

We explore the phenomenology of a fermiophobic Higgs: a Higgs whose couplings to fermions are suppressed. We calculate the branching ratios of a Higgs decaying to $\gamma \gamma$, $W^{\ast }{W}^{\ast }$, $Z^{\ast }{Z}^{\ast }$, $Zb\bar{b}$, $Z\gamma$, $\gamma b\bar b$,andfinalstatesinvolvingvectormesonslike$\Upsilon$,$J/\Psi$and$\rho$. In order to calculate these branching ratios we perform a complete one-loop renormalization of the vertices $HZ\gamma$ and $H\gamma \gamma$. The decay mode $H\to \gamma \gamma$ is near unity for a Higgs below the $W$ mass, which provides a clean way of discovering a light fermiophobic Higgs. Interesting modes involving the vector mesons $Z$, $\gamma$, $\rho$, $J\mathrm{/}\mathrm{\Psi }$, and $\mathrm{{\rm Y}}$ are carefully analyzed.