Remarks on Next-to-Leading Order Analysis of Polarized Deep Inelastic Scattering Data

Abstract

Since the x dependence of the axial-anomaly effect in inclusive polarized deep inelastic scattering is fixed, the transformation from the $\overline{MS}$ scheme to different factorization schemes are not arbitrary. If the quark spin distribution is demanded to be anomaly-free so that it does not evolve with $Q^2$ and hard gluons contribute to the first moment of $g_1(x)$, then all the moments of coefficient and splitting functions are fixed by perturbative QCD for a given ${\gamma }_5$ prescription, contrary to the commonly used Adler-Bardeen (AB) or AB-like scheme. It is urged that, in order to correctly demonstrate the effect of factorization scheme dependence, the QCD analysis of polarized structure functions in next-to-leading order should be performed, besides the $\overline{MS}$ scheme, in the chiral-invariant factorization scheme in which the axial anomaly resides in the gluon coefficient function, instead of the less consistent and ambiguous AB scheme.

10 pages, 1 figure. A new reference is added and a new paragraph after Eq.(10) is presented. To be published in Phys. Lett. B

References in corpus (4)

• Spin Structure of the Proton from Polarized Inclusive Deep-Inelastic Muon-Proton Scattering
• Determination of the Bjorken Sum and Strong Coupling from Polarized Structure Functions
• Next-to-Leading Order QCD Analysis of Polarized Deep Inelastic Scattering Data
• Non-local generalization of the axial anomaly and $x$-dependence of the anomalous gluon contribution

Cited by in corpus (12)

• Models for the Polarized Parton Distributions of the Nucleon
• Spin Physics and Polarized Structure Functions
• The Spin Structure of the Nucleon
• Polarized Parton Densities in the Nucleon
• Scheme Dependence in Polarized Deep Inelastic Scattering
• Generalized form factors, generalized parton distributions and the spin contents of the nucleon
• x-Dependent Polarized Parton Distributions
• Phenomenological analysis of the nucleon spin contents and their scale dependence
• Polarized Parton Distributions in the Photon and Factorization Scheme Dependence
• Moments of generalized parton distribution functions and the nucleon spin contents
• Spin structure in non-forward partons
• Parton Distributions in the Virtual Photon Target and Factorization Scheme Dependence