Antisearch for the glueball candidate $f_J\mathrm{}\left(2220\right)\mathrm{}$ in two-photon interactions

Using $13.3{\mathrm{fb}}^{-1}$ of $e^{+}{e}^{-}$ data recorded with the CLEO II and CLEO II.V detector configurations at CESR, we have searched for $f_J\mathrm{}\left(2220\right)\mathrm{}$ decays to $K_S^0{K}_S^0$ in untagged two-photon interactions. We report an upper limit on the product of the two-photon partial width and the branching fraction, ${\Gamma }_{\gamma \gamma }\mathcal{B}\left(f_J\mathrm{}\right(2220)\mathrm{}\to K_S^0{K}_S^0),$ of less than 1.1 eV at the 95% confidence level; systematic uncertainties are included. This data set is four times larger than that used in the previous CLEO publication.