  We present the result of the searches for a low mass Standard Model Higgs
boson performed at the Tevatron ppbar collider (sqrt(s) =1.96 TeV) by the CDF
and D0 experiments with an integrated luminosity of up to 8.5 fb^-1. Individual
searches are discussed and classified according to their sensitivity. Primary
channels rely on the associate production with a vector boson (WH or ZH) and
the H->bbbar decay channel (favored for M_H<135 GeV/c^2). Event selection is
based on the leptonic decay of the vector boson and the identification of
b-hadron enriched jets. Each individual channel is sensitive, for M_H=115
GeV/c^2, to less than 5 times the SM expected cross section and the most
sensitive channels can exclude a production cross section of 2.3 x sigma_H SM.
Secondary channels rely on a variety of final states. Although they are from 2
to 5 times less sensitive than any primary channel, they contribute to the
Tevatron combination and, in some cases, they pose strong constrains on exotic
Higgs boson models.
