Production of a gluon with the exchange of three reggeized gluons in the Lipatov effective action approach

Abstract

In the Regge kinematics the amplitude for gluon production off three scattering centers is found in the Lipatov effective action technique. The vertex for gluon emission with the reggeon splitting in three reggeons is calculated and its transversality is demonstrated. It is shown that in the sum of all contributions terms containing principal value singularities are cancelled and substituted by the standard Feynman poles. These results may be used for calculation of the inclusive cross-section for gluon production on two nucleons in the nucleus.

22 pages, 9 figures; submitted to Eur.Phys.Jour. C

References in corpus (5)

• Gluon production on two centers and the effective action approach
• The Reggeon $\to$ 2 Reggeons $+$ Particle vertex in the Lipatov effective action formalism
• On the inclusive gluon production in the Lipatov effective action formalism
• Inclusive 1-jet Production Cross Section at Small x in QCD: Multiple Interactions
• BKP states in the inclusive gluon production

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