We report evidence for $s$-channel single-top-quark production in proton-antiproton collisions at center-of-mass energy $sqrt{s}= 1.96 mathrm{TeV}$ using a data set that corresponds to an integrated luminosity of $9.4 mathrm{fb}^{-1}$ collected by the Collider Detector at Fermilab. We select events consistent with the $s$-channel process including two jets and one leptonically decaying $W$ boson. The observed significance is $3.8$ standard deviations with respect to the background-only prediction. Assuming a top-quark mass of $172.5 mathrm{GeV}/c^2$, we measure the $s$-channel cross section to be $1.41^{+0.44}_{-0.42} mathrm{pb}$.
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