Combined CDF and D0 Upper Limits on Standard Model Higgs-Boson Production with 2.1 - 5.4 fb-1 of Data

We combine results from CDF and D0 on direct searches for a standard model (SM) Higgs boson (H) in ppbar collisions at the Fermilab Tevatron at sqrt(s)=1.96 TeV. Compared to the previous Tevatron Higgs search combination more data have been added and some previously used channels have been reanalyzed to gain sensitivity. We use the latest parton distribution functions and gg->H theoretical cross sections when comparing our limits to the SM predictions. With 2.0-4.8 fb-1 of data analyzed at CDF, and 2.1-5.4 fb-1 at D0, the 95% C.L. upper limits on Higgs boson production are a factor of 2.70 (0.94) times the SM cross section for a Higgs boson mass of m_H=115 (165) GeV/c^2. The corresponding median upper limits expected in the absence of Higgs boson production are 1.78 (0.89). The mass range excluded at 95% C.L. for a SM Higgs is 163<m_H<166 GeV/c^2, with an expected exclusion of 159<m_H<168 GeV/c^2.