Evolution of twist-three parton distributions in QCD beyond the large-N-c limit

Braun, Vladimir M. and Korchemsky, G. P. and Manashov, A. N. (2000) Evolution of twist-three parton distributions in QCD beyond the large-N-c limit. PHYSICS LETTERS B, 476 (3-4). pp. 455-464. ISSN 0370-2693

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Abstract

We formulate a consistent 1/N-c(2) expansion of the QCD evolution equations for the twist-three quark distributions g(2)(x,Q(2)), h(L)(x,Q(2)) and e(x,Q(2)) based on the interpretation of the evolution as a three-particle quantum-mechanical problem with hermitian Hamiltonian. Each distribution amplitude can be decomposed in contributions of partonic components with DGLAP-type scale dependence. We calculate the 1/N-c(2) corrections to the evolution of the dominant component with the lowest anomalous dimension - the only one that survives in the large-N-c limit - and observe a good agreement with the exact numerical results for N-c = 3. The 1/N-c(2) admixture of operators with higher anomalous dimensions is shown to be concentrated at a few lowest partonic components and in general is rather weak. (C) 2000 Elsevier Science B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: Q(2) EVOLUTION; H(L)(X,Q(2)); E(X,Q(2)); EQUATIONS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 24 May 2022 09:50
Last Modified: 24 May 2022 09:50
URI: https://pred.uni-regensburg.de/id/eprint/42736

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