Complete resummed four-reggeized-gluon state

Determine the complete resummed four-reggeized-gluon state, including corrections with zero, one, and two triple-Pomeron vertices.

Background

The paper derives and numerically evaluates the lowest-order Pomeron-loop correction to single Pomeron exchange. Its treatment is based on a perturbative expansion involving triple-Pomeron vertices and is restricted, for the explicit coordinate-integral evaluation, to the phenomenologically dominant zero-conformal-spin configuration.

A complete resummation of the four-reggeized-gluon state would extend this analysis beyond the single lowest-order Pomeron-loop correction by incorporating contributions with zero, one, and two triple-Pomeron vertices. The authors explicitly leave this determination unresolved for future work.

References

Another interesting research task, which we leave for the future, is the determination of the complete resummed 4 reggeized gluon state, which includes correction due to zero, one and two triple Pomeron vertices.

— The Pomeron loop as a perturbative correction to single Pomeron exchange revisited  (2608.28544 - Hentschinski et al., 28 Aug 2026) in Section 5, Conclusions and Outlook, p. 15