Search for neutral MSSM Higgs bosons in the $\tau\tau$ decay channel at CDF

We present the results of a search for neutral MSSM Higgs bosons produced in proton-antiproton collisions at $\sqrt{s}$=1.96 TeV. This search was aimed at the $\tau\tau$ decay of the Higgs, with a new large data sample collected by the CDF Run II detector. The $\tau\tau$ decay channel is an excellent probe to Higgs production at the Tevatron Collider. We consider three different modes in this search: $\tau_{e}\tau_{\mu}$, $\tau_{e}\tau_{had}$ and $\tau_{\mu}\tau_{had}$ where the indices denote the $\tau$ decay mode.