Search for Associated Production of Z and Higgs Bosons in $\ell^+\ell^- b\bar{b}$ Final States

Studies are presented of the search for a light Standard Model Higgs boson produced in association with a Z boson in the $Z\rightarrow\ell^+\ell^-$ ($\ell$ = electron or muon) and $H\rightarrow b\bar{b}$ decay channel using 0.9 fb$^{^-1}$ of integrated luminosity of Run II data collected by the D0 detector at the Fermilab $p\bar{p}$ collider at $\sqrt{s} = 1.96$ TeV.