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

2002/11/19 by J. A. M. Vermaseren, J.A.M Vermaseren, S. Moch +3 · 3 citations
Physics and Astronomy · #Dimension (graph theory) #High-Energy Particle Collisions Research #Massless particle #Order (exchange) #Particle physics theoretical and experimental studies #Perturbative QCD #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Scattering #Structure function #hep-ph

paper · pdf · doi:10.1016/s0920-5632(03)80151-2

published as Nucl.Phys.Proc.Suppl. 116 (2003) 100-104 · 5 pages, LaTeX. Talk given at RADCOR02, Kloster Banz

arxiv created 2002/11/19 · openalex publication_date 2003/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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 A₃, our calculation facilitates the complete determination of the threshold-resummation coefficients B₂ and D₂^DIS. The latter quantity vanishes in the MSbar scheme.

Citations

• Integration by parts: The algorithm to calculate β-functions in 4 loops
• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Reliable Perturbative Results for Strong Interactions?
• Regularization and renormalization of gauge fields
• Harmonic Polylogarithms

Cited by

• Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
• The triple collinear limit of one-loop QCD amplitudes
• Two-loop QCD helicity amplitudes for massless quark-quark scattering