On the 2nd Order Corrections to the Hard Pomeron and the Running Coupling Constant

Details On the 2nd Order Corrections to the Hard Pomeron and the Running Coupling Constant On the 2nd Order Corrections to the Hard Pomeron and the Running Coupling Constant

1998-08-17

arxiv.org/abs/hep-ph/9808340v1

Phys.Lett. B442 (1998) 459-469

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 2 figures

Scientific paper

10.1016/S0370-2693(98)01284-2

It is shown that solutions to the 2nd order BFKL eigenvalue equation exist for arbitrary large real values of the complex angular momentum $j$. This corresponds to a cut in the complex $j$ plane along the whole real axis, and it makes the use of the complex angular momentum variable for the calculation of the high-energy behavior somewhat questionable. The eigenfunctions contain non-perturbative pieces which behave as $\exp(-1/\alpha_s b)$ and have no counterpart in the leading-log BFKL equation. The high-energy behavior of the 2nd order BFKL Green function as found by other authors, is reproduced by excluding these non-perturbative pieces of the eigenfunctions.

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