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

A. Mukherjee·M. Vanderhaeghen
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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 $ξ< x <1$, 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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A. Mukherjee, M. Vanderhaeghen. 2003-03-03. Helicity-dependent Twist-two and Twist-three Generalized Parton Distributions in Light-front QCD. https://doi.org/10.1103/physrevd.67.085020

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