  We present a search for the standard model (SM) Higgs boson produced in
association with a Z boson in 9.7 fb-1 of ppbar collisions collected with the
D0 detector at the Fermilab Tevatron Collider at sqrt(s) = 1.96 TeV. Selected
events contain one reconstructed Z-> e+e- or Z-> mu+mu- candidate and at least
two jets, including at least one jet identified as likely to contain a b quark.
To validate the search procedure, we also measure the cross section for ZZ
production in the same final state. It is found to be consistent with its SM
prediction. We set upper limits on the ZH production cross section times
branching ratio for H->bbbar at the 95% C.L. for Higgs boson masses 90 < M_H <
150 GeV. The observed (expected) limit for M_H = 125 GeV is 7.1 (5.1) times the
SM cross section.
