We review measurements of open beauty production at HERA, with emphasis on recent results based on lifetime signatures. The beauty cross sections in photoproduction and deep-inelastic scattering are found to be higher than expected in QCD at next-to-leading order. The discussion includes new results on beauty production in e+e-, gamma-gamma and p-bar-p interactions. An outlook on the potential for measurements with the upgraded HERA collider and experiments is also given.
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