All-order factorization with Glauber and super-leading logarithmic effects

Establish an all-order factorization analysis of the finite-rapidity recoil partition that incorporates non-global logarithms, Glauber contributions, and the structure of associated super-leading logarithms.

Background

The paper derives the finite-coverage Sudakov evolution at one loop for the fiducial recoil observable in forward Z0Z^0 production. At higher orders, correlated soft emissions can generate non-global logarithms because radiation is partitioned between the measured detector coverage and the uncovered region. The treatment presented does not include these effects.

The authors further identify the need for an all-order analysis of the factorization theorem, including possible Glauber contributions and associated super-leading logarithms. This is explicitly left for future work, making it an unresolved problem rather than merely a stated limitation of the current calculation.

References

An all-order analysis of factorization, including Glauber contributions and the structure of associated super-leading logarithms, lies beyond the present accuracy and is left for future work.

— Recoil Geometry Unmasks Gluon Saturation in Forward $Z^0$ Production  (2609.02356 - Li et al., 2 Sep 2026) in Supplemental Material, subsection “SCET derivation of the finite-coverage Sudakov evolution”