Moch, S.; Rogal, M. and Vogt, A. (2008) Differences between charged-current coefficient functions. Nuclear Physics B, 790 (1-2). pp. 317-335. ISSN 0550-3213
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Second- and third-order results are presented for the structure functions of charged-current deep-inelastic scattering in the framework of massless perturbative QCD. We write down the two-loop differences between the corresponding crossing-even and -odd coefficient functions, including those for the longitudinal structure function not covered in the literature so far. At three loops we compute the lowest five moments of these differences for all three structure functions and provide approximate expressions in Bjorken-$x$ space. Also calculated is the related third-order coefficient-function correction to the Gottfried sum rule. We confirm the conjectured suppression of these quantities if the number of colours is large. Finally we derive the second- and third-order QCD contributions to the Paschos-Wolfenstein ratio used for the determination of the weak mixing angle from neutrino-nucleon deep-inelastic scattering. These contributions are found to be small.
|Additional Information:||LTH 756; arXiv Number: arXiv:hep-th/0610306v1. Available online 1 October 2007. Issue: 11 February 2008.|
|Uncontrolled Keywords:||Quantum chromodynamics; Deep-inelastic scattering; Precision perturbative corrections|
|Subjects:||Q Science > QC Physics|
|Departments, Research Centres and Related Units:||Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences|
|Deposited On:||15 Aug 2008 15:07|
|Last Modified:||20 May 2011 16:59|
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