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Scheme and scale dependence of charm production in neutrino scattering

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Zeitschrift für Physik C: Particles and Fields

Abstract

We discuss some theoretical uncertainties in the calculation of the cross section for charm production in charged current deep inelastic neutrino scattering related to ambiguities in the treatment of terms which are singular in the limit of a vanishing charm mass. In particular we compare the so-called variable flavour scheme where these terms are absorbed in the parton distribution functions containing the charm as an active flavour, with the so-called fixed flavour scheme with no charm mass subtraction where the charm appears only in the final state of fixed-order scattering matrix elements. Using available parametrizations of parton distribution functions we find that the two schemes lead to largely differing results for separate structure functions whereas the differences cancel to a large extent in the total cross section in that kinematical region which has been measured so far.

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Authors and Affiliations

  1. II. Institut für Theoretische Physik, Universität Hamburg, D-22761, Hamburg, Germany

    G. Kramer

  2. Max-Planck-Institut für Physik, Werner-Heisenberg- Institut, D-80805, München, Germany

    B. Lampe

  3. Fakultät für Physik, Universität Bielefeld, D-33615, Bielefeld, Germany

    H. Spiesberger

Authors
  1. G. Kramer
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  2. B. Lampe
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  3. H. Spiesberger
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Additional information

Supported by Bundesministerium für Forschung und Technologie, Bonn, Germany, Contract 05 6HH93P(5)

Supported by the EEC Program ‘Human Capital and Mobility’ through Network ‘Physics at High Energy Colliders’ under Contract CHRX-CT93-0357 (DG12 COMA)

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Kramer, G., Lampe, B. & Spiesberger, H. Scheme and scale dependence of charm production in neutrino scattering. Z. Phys. C - Particles and Fields 72, 99–106 (1996). https://doi.org/10.1007/s002880050228

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  • DOI: https://doi.org/10.1007/s002880050228

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