  We report on searches for the standard model Higgs boson with the CDF and D0
detectors using up to 2.7 fb$^{-1}$ of $\sqrt s=$ 1.96 TeV proton anti-proton
collisions at Fermilab's Tevatron. We focus on analyses that are sensitive to
low mass Higgs production with $m_H<$ 140 GeV/$c^2$ favored by precision
electroweak constraints. Both CDF and D0 find no evidence for Higgs boson
production, and set upper limits on cross section times branching ratio.
Several analyses improvements have increased the sensitivity to a Higgs signal
faster than what is expected from increasing datasets alone.
