Measurement of $\sigma (p\overline{p}\to Z)·\mathcal{B}(Z\to \tau \tau )$ in $p\overline{p}$ collisions at $\sqrt{s}=1.96\mathrm{TeV}$

We present a measurement of the inclusive production cross section for $Z$ bosons decaying to tau leptons in $p\overline{p}$ collisions at $\sqrt{s}=1.96\mathrm{TeV}$. We use a channel with one hadronically-decaying and one electronically-decaying tau. This measurement is based on $350{\mathrm{pb}}^{-1}$ of CDF Run II data. Using a sample of 504 opposite sign $e\tau$ events with a total expected background of 190 events, we obtain $\sigma (p\overline{p}\to 4Z)·\mathcal{B}(Z\to \tau \tau )=264\pm 23(\mathrm{stat})\pm 14(\mathrm{syst})\pm 15(\mathrm{lumi})\mathrm{pb}$, in agreement with the next-to-next-to-leading order QCD prediction. This is the first CDF cross section measurement using hadronically-decaying taus in Run II.