We study QCD hard processes at scales of order (Formula presented) in the limit in which the beta-function coefficient b is taken to be small, but (Formula presented) 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 (Formula presented) where Y is rapidity of the process. We provide a general setup for this b expansion and we calculate the first few terms both analytically and numerically.
|Original language||English (US)|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - 2002|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)