Nonsinglet structure functions beyond the next-to-next-to-leading order - INSPIRE

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Nonsinglet structure functions beyond the next-to-next-to-leading order

W.L. van Neerven
(
- Leiden U.
)
,
A. Vogt
(
- Leiden U.
)

Feb, 2001

28 pages

Published in:

Nucl.Phys.B 603 (2001) 42-68

e-Print:

hep-ph/0103123 [hep-ph]

DOI:

10.1016/S0550-3213(01)00158-4

Report number:

INLO-PUB-12-00

View in:

ADS Abstract Service

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Abstract:

We study the evolution of the flavour non-singlet deep-inelastic structure functions F_{2,NS} and F_3 at the next-to-next-to-next-to-leading order (N^3LO) of massless perturbative QCD. The present information on the corresponding three-loop coefficient functions is used to derive approximate expressions of these quantities which prove completely sufficient for values x > 10^{-2} of the Bjorken variable. The inclusion of the N^3LO corrections reduces the theoretical uncertainty of alpha_s determinations from non-singlet scaling violations arising from the truncation of the perturbation series to less than 1%. We also study the predictions of the soft-gluon resummation, of renormalization-scheme optimizations by the principle of minimal sensitivity (PMS) and the effective charge (ECH) method, and of the Pade' summation for the structure-function evolution kernels. The PMS, ECH and Pade' approaches are found to facilitate a reliable estimate of the corrections beyond N^3LO.

Note:

29 pages, LaTeX, 12 eps-figures Report-no: INLO-PUB 12/00

12.38.Bx
12.38.Cy
13.60.Hb
lepton nucleon: deep inelastic scattering
neutrino nucleon: deep inelastic scattering
charged current
nucleon: structure function
quantum chromodynamics: massless
perturbation theory: higher-order
scaling: violation

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Figures(0)

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