Interaction of Two Reggeized Gluons: 2nd Order Corrections and the Bootstrap

TL;DR

This paper explores how gluon reggeization, through the bootstrap property of the BFKL kernel, enables calculation of the interaction kernel in the octet color channel, verified by direct Feynman diagram calculations.

Contribution

It introduces a method to compute the interaction kernel in the octet channel using bootstrap and known gluon trajectory up to second order, with validation.

Findings

Validated the kernel calculation with Feynman diagrams

Extended the bootstrap approach to non-forward directions

Provided second-order corrections for quark contributions

Abstract

Our aim is to show how the reggeization of the gluon, encoded in the bootstrap property of the BFKL kernel, permits to calculate the interaction kernel in the octet colour channel in the forward and non forward direction, for the quark contribution, starting from the known gluon trajectory up to 2nd order. To this end an ansatz to solve the bootstrap equation is used. The obtained result, for what regard the quark contribution, has been verified by direct Feynman diagram calculations.