Solution of the off-forward leading logarithmic evolution equation based on the Gegenbauer moments inversion

Details Solution of the off-forward leading logarithmic evolution equation based on the Gegenbauer moments inversion Solution of the off-forward leading logarithmic evolution equation based on the Gegenbauer moments inversion

1999-02-11

arxiv.org/abs/hep-ph/9902318v2

Phys.Rev. D60 (1999) 116005

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX, no figures, revised version, references added

Scientific paper

10.1103/PhysRevD.60.116005

Using the conformal invariance the leading-log evolution of the off-forward structure function is reduced to the forward evolution described by the conventional DGLAP equation. The method relies on the fact that the anomalous dimensions of the Gegenbauer moments of the off-forward distribution are independent on the asymmetry, or skewedness, parameter and equal to the DGLAP ones. The integral kernels relating the forward and off-forward functions with the same Mellin and Gegenbauer moments are presented for arbitrary asymmetry value.

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