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We present the final combination of CDF and D0 measurements of cross sectionsfor single-top-quark production in proton-antiproton collisions at acenter-of-mass energy of 1.96 TeV. The data correspond to total integratedluminosities of up to 9.7 fb$^{-1}$ per experiment. The $t$-channel crosssection is measured to be $\sigma_t = 2.25^{+0.29}_{-0.31}$ pb. We also presentthe combinations of the two-dimensional measurements of the $s$- vs.$t$-channel cross sections and of the $s+t$ channel cross section measurementresulting in $\sigma_{s+t} = 3.30^{+0.52}_{-0.40}$ pb, without assuming thestandard-model value for the ratio $\sigma_s/\sigma_t$. The resulting value ofthe magnitude of the top-to-bottom quark coupling is $|V_{tb}|$ =$1.02^{+0.06}_{-0.05}$, corresponding to $|V_{tb}| > 0.92$ at the 95% C.L.

physical review letters

Tevatron Combination of Single-Top-Quark Cross Sections and  Determination of the Magnitude of the Cabibbo-Kobayashi-Maskawa Matrix  Element $\bf V_{tb}$