Expanding running coupling effects in the hard Pomeron

M. Ciafaloni, D. Colferai, G. P. Salam, A. M. Staśto

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

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 languageEnglish (US)
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume66
Issue number5
DOIs
StatePublished - Jan 1 2002

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Green's functions
quantum chromodynamics
exponents
expansion
coefficients
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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Expanding running coupling effects in the hard Pomeron. / Ciafaloni, M.; Colferai, D.; Salam, G. P.; Staśto, A. M.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 66, No. 5, 01.01.2002.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Expanding running coupling effects in the hard Pomeron

AU - Ciafaloni, M.

AU - Colferai, D.

AU - Salam, G. P.

AU - Staśto, A. M.

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N2 - 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.

AB - 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.

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