Target Mass Effects in QCD Bjorken Sum Rule

Abstract

We investigate the target mass effects in QCD Bjorken sum rule. The magnitude of the target mass correction is estimated in a variety of methods employing positivity bound as well as the experimental data for the asymmetry parameters. It turns out that the target mass correction is sizable at low $Q^2$ of the order of a few GeV${}^2$, where the QCD correction is significant. We show that there exists uncertainty due to target mass effects in determining the QCD effective coupling constant ${\alpha }_s(Q^2)$ from the Bjorken sum rule.

LaTeX, 10 pages, 2 figures (.ps files) appended after \end{document} as an uuencoded compressed tar file, KUCP-74

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• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• Determination of ${\alpha }_s$ and the Nucleon Spin Decomposition Using Recent Polarized Structure Function Data
• ERRATUM TO: Power corrections $1/Q^2$ to parton sum rules for deep inelastic scattering from polarized targets
• Analysis of Data on Polarized Lepton-Nucleon Scattering
• Spin Asymmetry in Muon--Proton Deep Inelastic Scattering on a Transversely-Polarized Target
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• Power corrections of off-forward quark distributions and harmonic operators with definite twist
• Target mass and finite momentum transfer corrections to unpolarized and polarized diffractive scatterin
• Target mass corrections and twist-3 in the nucleon spin structure functions
• Target Mass Effects in Polarized Virtual Photon Structure Functions
• Target Mass Corrections for the Virtual Photon Structure Functions to the Next-to-next-to-leading Order in QCD
• Twist cut-off for scalar off-cone operators in q-space
• Mass effects in the polarized virtual photon structure
• Target Mass Corrections to QCD Bjorken Sum Rule for Nucleon Spin Structure Functions