First results for three-loop deep-inelastic structure functions in QCD

Details First results for three-loop deep-inelastic structure functions in QCD First results for three-loop deep-inelastic structure functions in QCD

2002-11-19

arxiv.org/abs/hep-ph/0211296v1

Nucl.Phys.Proc.Suppl. 116 (2003) 100-104

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, LaTeX. Talk given at RADCOR02, Kloster Banz

Scientific paper

10.1016/S0920-5632(03)80151-2

As a first step towards the complete calculation of deep-inelastic scattering at third order of massless perturbative QCD, we have computed the fermionic (nf) contributions to the flavour non-singlet structure functions in unpolarized electromagnetic scattering. We briefly discuss the approach chosen for this calculation, the problems we encountered and the status of the project. We show the results for the corresponding anomalous dimension in both Mellin-N and Bjorken-x. Together with the nf part of A_3, our calculation facilitates the complete determination of the threshold-resummation coefficients B_2 and D_2^DIS. The latter quantity vanishes in the MSbar scheme.

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