Non-singlet coefficient functions for charged-current deep-inelastic scattering to the third order in QCD

Abstract

We have calculated the coefficient functions for the structure functions F_2, F_L and F_3 in nu-nubar charged-current deep-inelastic scattering (DIS) at the third order in the strong coupling alpha_s, thus completing the description of unpolarized inclusive W^(+-) exchange DIS to this order of massless perturbative QCD. In this brief note, our new results are presented in terms of compact approximate expressions that are sufficiently accurate for phenomenological analyses. For the benefit of such analyses we also collect, in a unified notation, the corresponding lower-order contributions and the flavour non-singlet coefficient functions for nu+nubar charged-current DIS. The behaviour of all six third-order coefficient functions at small Bjorken-x is briefly discussed.

Minimal text changes: last reference exchanged, modifications for compilation with newer pos$.$sty. Ancillary files extended by FORM files for the exact N-space and x-space results, Fortran routines of the exact x-space results, and analytical and numerical expressions for the second moments of the even-N minus odd-N coefficient functions c_2, c_L and c_3

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• Differences between charged-current coefficient functions
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Cited by in corpus (5)

• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
• The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^{+}-W^{-}}(x,Q^2)$ and $F_2^{W^{+}-W^{-}}(x,Q^2)$
• FORM, Diagrams and Topologies
• At the Frontier of Precision QCD in the LHC Era
• Electroweak Higgs boson pair production: Updated inclusive cross sections