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Examination of Wandzura-Wilczek Relation for $g_2(x,Q^2)$ in pQCD

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arxiv hep-ph/9706419 v1 pith:7AN2ZMHX submitted 1997-06-19 hep-ph

classification hep-ph
keywords pqcdrelationwandzura-wilczekfunctionorderpolarizedquarkstructure
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abstract

In order to examine the validity of Wandzura-Wilczek relation for the polarized DIS structure function $g_2(x,Q^2)$, we use the light-front time-ordering pQCD to calculate $g_2(x,Q^2)$ at order $\alpha_s$ on a quark target. We find that the study of the transverse polarized structure function in pQCD is only meaningful if we begin with massive quarks. The result shows that the Wandzura-Wilczek relation for $g_2(x,Q^2)$ is strongly violated by the quark mass in pQCD.

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  1. The role of the chiral anomaly in polarized deeply inelastic scattering III: Wess-Zumino-Witten contributions and chiral Ward identities for finite quark mass

    hep-ph 2025-01 conditional novelty 6.0 of 10

    A worldline computation shows the QED anomaly-pole cancellation by the PVV triangle does not extend to QCD, and the eta-prime mechanism yields only a few percent finite-mass correction to the Shore-Veneziano relation ...

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