Large-order trend of the anomalous-dimensions spectrum of trilinear twist-3 quark operators

Details Large-order trend of the anomalous-dimensions spectrum of trilinear twist-3 quark operators Large-order trend of the anomalous-dimensions spectrum of trilinear twist-3 quark operators

1999-03-12

arxiv.org/abs/hep-ph/9903339v1

Phys.Lett. B458 (1999) 109-116

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages; 1 table; 4 figures as PS files; RevTex style

Scientific paper

10.1016/S0370-2693(99)00552-3

The anomalous dimensions of trilinear-quark operators are calculated at leading twist $t=3$ by diagonalizing the one-gluon exchange kernel of the renormalization-group type evolution equation for the nucleon distribution amplitude. This is done within a symmetrized basis of Appell polynomials of maximum degree $M$ for $M\gg 1$ (up to order 400) by combining analytical and numerical algorithms. The calculated anomalous dimensions form a degenerate system, whose upper envelope shows asymptotically logarithmic behavior.

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