Non-Singlet QCD Analysis of the Structure Function F_2 in 3-Loops

Abstract

First results of a non--singlet QCD analysis of the structure function $F_2(x,Q^2)$ in 3--loop order based on the non--singlet world data are presented. Correlated errors are determined and their propagation through the evolution equations is performed analytically. The value for ${\alpha }_s(M_Z)$ is determined to be $0.1135+/-0.0023/0.0026$ compatible with results from other QCD analyses. Low moments for $u_v(x)$, $d_v(x)$ and $u_v(x)-d_v(x)$ with correlated errors are calculated which may be compared with results from lattice simulations.

1 Latex file, 1 style file, 2 figures Current World average on alpha_s added

References in corpus (15)

• New Generation of Parton Distributions with Uncertainties from Global QCD Analysis
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Deep-Inelastic Inclusive ep Scattering at Low x and a Determination of alpha_s
• Improved Measurement of the $\bar{d}/\bar{u}$ Asymmetry in the Nucleon Sea
• Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio sigma(L)/sigma(T)
• MRST2001: partons and alpha_S from precise deep inelastic scattering and Tevatron jet data
• Measurement of the neutral current cross section and F2 structure function for deep inelastic e+p scattering at HERA
• QCD Analysis of Polarized Deep Inelastic Data and Parton Distributions
• A ZEUS next-to-leading-order QCD analysis of data on deep inelastic scattering
• Parton distributions from deep-inelastic-scattering data
• Determination of the QCD Coupling ${\alpha }_s$
• NNLO evolution of deep-inelastic structure functions: the non-singlet case
• Neutron/Proton Structure Function Ratio at Large x
• Measurements of R=sigma_L/sigma_T for 0.03<x<0.1 and Fit to World Data
• Improved Calculation of F2 in Electroproduction and xF3 in Neutrino Scattering to NNLO and Determination of alpha_s

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