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We present a search for a low-mass standard model Higgs boson produced inassociation with a $Z$ boson decaying to charged leptons at a center-of-massenergy of $\sqrt{s}=$1.96 TeV with the D0 detector at the Fermilab Tevatroncollider. The search is performed in a large data set of events containing twoopposite-sign leptons (electron, muon, tau) and one or two b-tagged jets.Recent improvements to the sensitivity, from increased lepton acceptance tooptimized signal-to-background discrimination, will be discussed.

Search for $ZH$ Production at D0 in $p\bar{p}\to\ell^+\ell^-b\bar{b}$ Events at $\sqrt{s}=1.96$ TeV