The Reggeon $\to$ 2 Reggeons $+$ Particle vertex in the Lipatov effective action formalism

Details The Reggeon $\to$ 2 Reggeons $+$ Particle vertex in the Lipatov effective action formalism The Reggeon $\to$ 2 Reggeons $+$ Particle vertex in the Lipatov effective action formalism

2006-12-23

arxiv.org/abs/hep-ph/0612323v2

Eur.Phys.J.C51:103-111,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 figures; misprints corrected; to be published in Eur.Phys.J. C

Scientific paper

10.1140/epjc/s10052-007-0270-2

The vertex for gluon emission during the splitting of a reggeized gluon into two is constructed in the framework of Lipatov effective action formalism. Its reduction to a pure transverse form for the diffractive amplitude gives the standard Bartels vertex plus an additional contribution corresponding to the emission from a pointlike splitting vertex. This additional contribution turns out to be given by a longitudinal integral divergent both in the ultraviolet and infrared. A certain specific recipe for this part, including the principal value prescription for the integration, allows to eliminate this unwanted contribution.

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