Gluon Regge trajectory at two loops from Lipatov's high energy effective action

Abstract

We present the derivation of the two-loop gluon Regge trajectory using Lipatov's high energy effective action and a direct evaluation of Feynman diagrams. Using a gauge invariant regularization of high energy divergences by deforming the light-cone vectors of the effective action, we determine the two-loop self-energy of the reggeized gluon, after computing the master integrals involved using the Mellin-Barnes representations technique. The self-energy is further matched to QCD through a recently proposed subtraction prescription. The Regge trajectory of the gluon is then defined through renormalization of the reggeized gluon propagator with respect to high energy divergences. Our result is in agreement with previous computations in the literature, providing a non-trivial test of the effective action and the proposed subtraction and renormalization framework.

22 pages

References in corpus (17)

• Algorithm FIRE -- Feynman Integral REduction
• Event-by-event gluon multiplicity, energy density and eccentricities at RHIC and LHC
• The CCFM Monte Carlo generator CASCADE 2.2.0
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• CGC predictions for p+Pb collisions at the LHC
• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• Evidence for BFKL and saturation dynamics from di-hadron spectra at the LHC
• Forward Jet Production at the Large Hadron Collider
• The azimuthal decorrelation of jets widely separated in rapidity as a test of the BFKL kernel
• Azimuthal decorrelation of Mueller-Navelet jets at the Tevatron and the LHC
• Scale choice & collinear contributions to Mueller-Navelet jets at LHC energies
• The effect of NLO conformal spins in azimuthal angle decorrelation of jet pairs
• Description of F2 and FL at small x using a collinearly-improved BFKL resummation
• Using HERA Data to Determine the Infrared Behaviour of the BFKL Amplitude
• Evidence for the Discrete Asymptotically-Free BFKL Pomeron from HERA Data
• Azimuthal decorrelation of forward jets in Deep Inelastic Scattering
• Forward jet production and quantum corrections to the gluon Regge trajectory from Lipatov's high energy effective action

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