Production of two gluons in the Lipatov effective action formalism
M.A.Braun, M.Yu.Salykin, M.I.Vyazovsky (Saint-Petersburg State, University, Russia)
TL;DR
This paper analyzes the one-loop diffractive amplitude for two-gluon emission with different rapidities using the Lipatov effective action, showing consistency with the Lipatov-Bartels formalism after integration over longitudinal momenta.
Contribution
It demonstrates the equivalence of the Lipatov effective action formalism and the Lipatov-Bartels formalism for two-gluon emission after loop integration.
Findings
Results match Lipatov-Bartels formalism in transversal space
Consistent prescription for excluding divergent contributions
Extension of single gluon emission methods to two gluons
Abstract
The one-loop diffractive amplitude for emission of two real gluons with widely different rapidities is studied in the Lipatov effective action formalism. It is shown that after integration over longitudinal momenta in the loop the resulting expression coincides with the one obtained by the Lipatov-Bartels formalism in transversal space provided the same prescription is used to exclude divergent contributions as previously proposed for emission of a single real gluon.
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