Expanding running coupling effects in the hard Pomeron

Abstract

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.

36 pages, 15 figures, additional references added

Cited by in corpus (36)

• Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data
• Renormalisation group improved small-x Green's function
• Higgs production in gluon fusion beyond NNLO
• Small x Resummation with Quarks: Deep-Inelastic Scattering
• An anomalous dimension for small x evolution
• Perturbatively Stable Resummed Small x Evolution Kernels
• An "all-poles" approximation to collinear resummations in the Regge limit of perturbative QCD
• Small x Phenomenology - summary of the 3rd Lund Small x Workshop in 2004
• Scale choice & collinear contributions to Mueller-Navelet jets at LHC energies
• Mueller-Navelet jets at 13 TeV LHC: dependence on dynamic constraints in the central rapidity region
• Summing Pomeron loops in the dipole approach
• Extending QCD perturbation theory to higher energies
• Hunting BFKL in semi-hard reactions at the LHC
• Resummation of Hadroproduction Cross-sections at High Energy
• Double resummation for Higgs production
• The Gluon Green's Function in the BFKL Approach at Next-to-Leading Logarithmic Accuracy
• Solving the BFKL Equation in the Next-to-Leading Approximation
• High-energy emissions of light mesons plus heavy flavor at the LHC and the Forward Physics Facility
• Collinear improvement of the BFKL kernel in the electroproduction of two light vector mesons
• F_L proton structure function from the unified DGLAP/BFKL approach
• A modified Balitsky-Kovchegov equation
• The Gluon Green's Function in N=4 Supersymmetric Yang-Mills Theory
• All Order Running Coupling BFKL Evolution from GLAP (and vice-versa)
• The ${\gamma }^{\ast }{\gamma }^{\ast }$ total cross section in next-to-leading order BFKL and LEP2 data
• Non-linear equation: energy conservation and impact parameter dependence
• The Green Function for the BFKL Pomeron and the Transition to DGLAP Evolution
• The Behaviour of the Green Function for the BFKL Pomeron with Running Coupling
• Can we trust small x resummation?
• A Study of the Gluon Ladder in Diffractive Processes
• High-energy resummation in semi-hard processes at the LHC
• Probing QCD dynamics in two-photon interactions at high energies
• The production of charged-kaon pairs in proton-antiproton collisions: The role of higher-twist mechanism
• From semi-hard processes to the unintegrated gluon distribution: a phenomenological path in the high-energy framework
• The energy dependence of the hard exclusive diffractive processes in pQCD as the function of momentum transfer
• Higher-twist mechanism and inclusive gluon production in pion-proton collisions
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x