The bootstrap for impact factors and the gluon wave function

TL;DR

This paper demonstrates that the non-forward quark and gluon impact factors in the gluon channel align with the bootstrap condition, linking them to the gluon wave function, and extends this to the next-to-leading order gluonic potential.

Contribution

It establishes the consistency of impact factors with the bootstrap condition and derives the gluonic potential at next-to-leading order based on this link.

Findings

Impact factors are proportional to the gluon wave function in the gluon channel.

The gluon wave function derived from bootstrap assumptions.

Extension of bootstrap condition to next-to-leading order gluonic potential.

Abstract

Using the results recently obtained for the non-forward quark and gluon impact factors, it is shown that their form in the gluon colour channel is consistent with the ``third bootstrap condition'', namely, that they should be proportional to the gluon wave function. The gluon wave function found from this assumption is used to write the full bootstrap condition for the gluonic potential in the next-to-leading order.