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Helicity-dependent Twist-two and Twist-three Generalized Parton Distributions in Light-front QCD

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arxiv hep-ph/0211386 v3 pith:772FHZG5 submitted 2002-11-25 hep-ph

A. Mukherjee , M. Vanderhaeghen This is my paper · ORCID
classification hep-ph
keywords quarktwist-threedistributionslight-fronttwist-twocasedistributiondressed
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abstract

We investigate the helicity dependent twist-two and twist-three generalized parton distributions in light-front Hamiltonian QCD for a massive dressed quark target. Working in the kinematical region $\xi< x <1$, we obtain the splitting functions for the evolutions of twist-two quark and gluon distributions in a straightforward way. For the twist-three distribution, we find that all contributions are proportional to the quark mass and thus the twist-three distribution is directly related to the chiral symmetry breaking dynamics in light-front QCD. We also show that the off-forward Wandzura-Wilczek relation is violated in perturbative QCD for a massive dressed quark.We calculate the quark mass correction to the WW relation in the off-forward case and show that it is related to $h_1(x)$ in the forward limit. We extract the 'genuine twist three' part of the matrix element in the forward case and verify the Burkhardt Cottingham and Efremov-Leader-Teryaev sum rules.

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Cited by 2 Pith papers

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  1. Twist-3 generalized parton distributions of sea quarks at zero skewness in the light-cone quark model

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A light-cone meson-baryon model is used to compute the eight nonzero twist-3 generalized parton distributions of ubar and dbar sea quarks at zero skewness, plus the derived e(x) and orbital angular momentum.

  2. Mechanical properties of the nucleon from the generalized parton distributions

    hep-ph 2025-01 conditional novelty 5.0 of 10

    Using a double-distribution GPD model constrained by elastic-scattering data, the paper fits DQ(0) = -3.37 ± 0.17 from Compton form factors and derives proton pressure, shear, and radii.

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