Search for SM Higgs in associated production with a $W$ boson in the $\tau\nu b\bar{b}$ final state at CDF

We present a search for the associated production of a standard model (SM) Higgs boson and a $W$ boson in data collected by the CDF detector in $p\overline{p}$ collisions at $\sqrt{s}=$ 1.96~TeV corresponding to 2fb$^{-1}$ of integrated luminosity. The search is performed using events containing two jets, a hadronically decaying $\tau$ lepton and missing transverse energy corresponding to the decay products expected from the decays of $H \rightarrow b\bar{b}$ and $W \rightarrow \tau \nu$. A binned likelihood fit of the dijet mass to the expectations for signal and background is performed to test for a potential Higgs signal. In the absence of an observed excess, we set upper limits on the production rate times branching ratio for a potential Higgs boson as a function of its mass.