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We present a search for f_J(2220) production in radiative J/psi -> gamma f_J(2220) decays using 460 fb^{-1} of data collected with
the BABAR detector at the SLAC PEP-II e+e- collider. The f_J(2220) is searched for in the decays to K+K- and
K_S K_S. No evidence of this resonance is observed, and 90% confidence level upper limits on the product of the branching
fractions for J/psi -> gamma f_J(2220) and f_J(2220) -> K+K- (K_S K_S) as a function of spin and helicity are set at the level
of 10^{-5}, below the central values reported by the Mark III experiment.
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