Search for Neutral MSSM Higgs Boson Production via the Process $p\bar{p} \to bb+A/h/H \to b\bar{b} b \bar{b}$

We are presenting a search using CDF Run II data for neutral MSSM Higgs bosons via the process $p\bar{p}\to b\bar{b} +A/h/H \to b\bar{b}b\bar{b}$. In the MSSM, Higgs production in association with $b$-quarks is enhanced at large $\tan \beta$, providing a good opportunity for observing the Higgs boson at the TeVatron. The current status of the search, conducted using triple b-tagged events from the CDF Run II data sample, will be shown. The analysis is based on an integrated luminosity of about 200 pb$^{-1}$ of CDF data.