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

Details Evolution of twist-three parton distributions in QCD beyond the large N_c limit Evolution of twist-three parton distributions in QCD beyond the large N_c limit

2000-01-14

arxiv.org/abs/hep-ph/0001130v1

Phys.Lett. B476 (2000) 455-464

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LaTeX style, 2 figures

Scientific paper

10.1016/S0370-2693(00)00131-3

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.

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