A search for the standard model Higgs boson in the decay mode $H \to ZZ \to 2l2\tau$, where $l = {\mu, e}$ is presented based on CMS data corresponding to an integrated luminosity of 1.1 fb$^{-1}$ at $\sqrt{s}=7$ TeV. No evidence is found for a significant deviation from standard model expectations anywhere in the ZZ mass range considered in this analysis. An upper limit at 95\% C.L. is placed on the product of the cross-section and decay branching ratio for the Higgs boson decaying with standard model-like couplings, which excludes cross-sections of about ten times the expected value for Higgs boson masses in the range 200 < m_{\rm H} < 400 \, \rm{GeV/c^2}.

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