Abstract
Top quark production in ep-collisions at HERA energies is studied. In particular the reaction ep → ν tbX is analyzed. The exact analytic expression for the single top production cross section, including all quark mass effects, is derived and evaluated for different values of the t-quark mass m t. The results are compared with the rates obtained from e b → ν tX where the b-quark is regarded as a sea quark in the proton and also with the rates for top-quark pair production. At HERA, single production of t-quarks is found to dominate over t t production for m t ⪆ 60 GeV . The exact pair production rate for top quarks agrees with the one in the Weizsäcker-Williams approximation up to ∼ 15 %. A TeV ep-collider will give access to singly produced top quarks with masses up to several hundred GeV.
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