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Helicity-dependent Twist-two and Twist-three Generalized Parton Distributions in Light-front QCD | | A. Mukherjee
; M. Vanderhaeghen
; | | Date: |
25 Nov 2002 | | Journal: | Phys.Rev. D67 (2003) 085020 | | Subject: | hep-ph | | 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. | | Source: | arXiv, hep-ph/0211386 | | Services: | Forum | Review | PDF | Favorites | |
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