A search for the Higgs boson in the H ZZ four-lepton decay channel, with each Z boson decaying to an electron, a muon, or a tau pair, is reported. The search covers Higgs boson mass hypotheses in the range GeV. The analysis uses pp collision data recorded by the CMS detector at the LHC, corresponding to integrated luminosities of 5.05 at = 7 TeV and 5.26 at = 8\TeV. The four-lepton invariant-mass distributions for and are found to be consistent with the standard model expectations for background ZZ production for invariant masses above 180 GeV. Upper limits at 95\% confidence level exclude the standard model Higgs boson in the range 131--162 and 172--525 GeV, while the expected exclusion range is 121--570 GeV. An excess of events is observed in the low mass range, making the observed limits weaker than expected in the absence of a signal. These events cluster around a mass GeV, giving rise to a local excess with respect to the background expectation, with a significance of . This result constitutes evidence for a new massive state.