Expanding running coupling effects in the hard Pomeron

Details Expanding running coupling effects in the hard Pomeron Expanding running coupling effects in the hard Pomeron

2002-04-24

arxiv.org/abs/hep-ph/0204282v2

Phys.Rev. D66 (2002) 054014

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages, 15 figures, additional references added

Scientific paper

10.1103/PhysRevD.66.054014

We study QCD hard processes at scales of order k^2 > Lambda^2 in the limit in which the beta-function coefficient - b is taken to be small, but alphas(k) is kept fixed. The (nonperturbative) Pomeron is exponentially suppressed in this limit, making it possible to define purely perturbative high-energy Green's functions. The hard Pomeron exponent acquires diffusion and running coupling corrections which can be expanded in the b parameter and turn out to be dependent on the effective coupling b alphas^2 Y. We provide a general setup for this b-expansion and we calculate the first few terms both analytically and numerically.

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