Anomalous dimension of the twist four gluon operator and pomeron cuts in deep inelastic scattering

• Published in: Nuclear physics. B Vol. 387; no. 3; pp. 589 - 616
• Main Authors: Levin, E.M., Ryskin, M.G., Shuvaev, A.G.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 07.12.1992; Elsevier
• Subjects: Exact sciences and technology; Photon and charged-lepton interactions with hadrons; Physics; Specific reactions and phenomenology; The physics of elementary particles and fields; Non linear equation; Perturbation theory; Structure function; Quantum chromodynamic; Particle emission; Elementary particle; Particle scattering; Mathematical operator; Evolution equation
• ISSN: 0550-3213; 1873-1562
• DOI: 10.1016/0550-3213(92)90208-S

The anomalous dimension of the twist four gluonic operator ( γ 4) in deep inelastic scattering is calculated in the double log approximation (DLA) of perturbative QCD. It turns out that at N → 1 γ 4( N − 1) is close to 2 γ 2(( N − 1)/2) where γ 2 is the anomalous dimension of the leading twist operator. It means that at N → 1 the contribution of the twist four operator to the deep inelastic structure function becomes very important and gives rise to the screening correction to the deep inelastic structure function as was taken into account in the nonlinear GLR evolution equation.