The uncertainties involved in the calculation of bottom quark (b-quark) crosssections in deep-inelastic scattering at HERA are studied in different phase space regions. Besides the inclusive b-quark cross-section, definitions closer to the detector acceptance requiring at least one high energetic muon from the semi-leptonic b-quark decay or a jet with high transverse energy are investigated. For each case the uncertainties due to the choice of the renormalisation and factorisation scales as well as the b-quark mass are estimated in the perturbative NLO QCD calculation and furthermore uncertainties in the fragmenation of the b-quark to a B-meson and in its semi-leptonic decay are discussed.
In the version of this Article originally published, the surname of the author N. Johansson was misspelled as 'Johannson'. In addition, in affiliation 17, "University of Łódź" was incorrect; it should have read "Łódź University of Technology". These errors have been corrected in the online versions of the Article and its Supplementary Information.
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