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Charged Higgs boson production in association with a top quark could be thefirst indication of the existence of Higgs particles. The Tevatron Run-IIstarted data-taking in April 2001 at a centre-of-mass energy of 1960 GeV andcould probe the existence of a charged Higgs boson beyond the current masslimit. We study the ppbar -> tbH^+/- production process with Monte Carlosimulations in HERWIG and PYTHIA, comparing expected cross sections and basicselection variables.Comment: 3 pages, 2 figures. Contribution to the Les Houches workshop  ``Physics at TeV Colliders'', 26 May - 6 June, 200

The $\rm p\bar p \rightarrow tbH^\pm$ process at the Tevatron in HERWIG and PYTHIA simulations