Partial restoration of factorization and universality in presence of factorization breaking interactions in hadronic hard scattering processes

TL;DR

This paper explores conditions under which factorization and universality can be approximately restored in hadronic hard scattering processes despite the presence of factorization-breaking interactions, focusing on spectral properties of these interactions.

Contribution

It demonstrates that approximate factorization involving T-odd contributions can be restored if the factorization-breaking interactions have a narrow, regular frequency spectrum.

Findings

Factorization can be approximately restored under specific spectral conditions.

Restoration depends on the spectral peak being narrow and regular.

Implications for measurements of T-odd distributions in hadronic processes.

Abstract

Recent works have discussed the violation of factorization and universality in hadronic hard scattering processes aimed at measurements of T-odd distributions. We use simple arguments to show that it is possible to restore an approximate factorization involving T-odd contributions if the factorization breaking interactions present a frequency spectrum dominated by by a narrow and regular peak whose maximum value corresponds to a respected factorization.