The gluon Reggeization in perturbative QCD at NLO

TL;DR

This paper discusses the proof of gluon Reggeization in perturbative QCD at next-to-leading order, demonstrating that bootstrap conditions ensure the Reggeized form of amplitudes is consistent with unitarity.

Contribution

The paper proves the gluon Reggeization hypothesis at NLO by verifying bootstrap conditions for Reggeon vertices and trajectories.

Findings

Bootstrap relations are fulfilled at NLO.

Reggeization hypothesis is confirmed at next-to-leading order.

Consistency with s-channel unitarity is established.

Abstract

Compatibility of the Reggeized form of QCD multi-particle amplitudes with the s-channel unitarity requires fulfilment of an infinite number of the "bootstrap" relations. On the other hand, it turns out that fulfillment of all these relations ensures the Reggeized form of energy dependent radiative corrections order by order in perturbation theory. It is extremely nontrivial, that all these relations are fulfilled if the Reggeon vertices and trajectory satisfy several bootstrap conditions. The full set of these conditions in the next-to-leading order was derived in the last year and the ultimate condition was shown to be satisfied recently. It means that the Reggeization hypothesis is proved now in the next-to-leading approximation.