We search for high-mass resonances decaying into $Z$ boson pairs using data corresponding to $6{\mathrm{fb}}^{-1}$ collected by the CDF experiment in $p\overline{p}$ collisions at $\sqrt{s}=1.96\mathrm{TeV}$. The search is performed in three distinct final states: $ZZ\to {\ell }^{+}{\ell }^{-}{\ell }^{+}{\ell }^{-}$, $ZZ\to {\ell }^{+}{\ell }^{-}\nu \nu$, and $ZZ\to {\ell }^{+}{\ell }^{-}jj$. For a Randall-Sundrum graviton $G^{*}$, the 95% CL upper limits on the production cross section times branching ratio to $ZZ$, $\sigma (p\overline{p}\to G^{*}\to ZZ)$, vary between 0.26 pb and 0.045 pb in the mass range $300<M_{G^{*}}<1000\mathrm{GeV}/c^2$.

• Received 15 November 2011

DOI:https://doi.org/10.1103/PhysRevD.85.012008