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We present next-to-leading order (NLO) perturbative-QCD calculations of thecross sections for $\ell N\to h X$ and $\ell N\to \mathrm{jet}\, X$. The mainfeature of these processes is that the scattered lepton is not observed, sothat the hard scale that makes them perturbative is set by the transversemomentum of the hadron or jet. Kinematically, the two processes thus becomedirect analogs of single-inclusive production in hadronic collisions which, ashas been pointed out in the literature, makes them promising tools forexploring transverse spin phenomena in QCD when the incident nucleon istransversely polarized. We find that the NLO corrections are sizable for thespin-averaged cross section. We also investigate in how far the scattering isdominated by the exchange of almost real (Weizs\"{a}cker-Williams) photons. Wepresent numerical estimates of the cross sections for present-day fixed targetexperiments and for a possible future electron ion collider.

Single-Inclusive Production of Hadrons and Jets in Lepton-Nucleon Scattering at NLO