# A novel formulation of the unintegrated gluon distribution for DIS

### Submission summary

 As Contributors: Yacine Mehtar-Tani Preprint link: scipost_202110_00004v2 Date accepted: 2022-05-24 Date submitted: 2022-05-17 17:37 Submitted by: Mehtar-Tani, Yacine Submitted to: SciPost Physics Proceedings Proceedings issue: DIS2021 Academic field: Physics Specialties: High-Energy Physics - Theory Nuclear Physics - Theory Approach: Theoretical

### Abstract

In this talk, we revisit inclusive DIS in the small $x$ limit and derive a new factorization formula that accounts for leading powers in both Bjorken and Regge limits. In this semi-classical description, we obtain a new unintegrated gluon distribution which encompasses both the dipole operator and the gluon Parton Distribution Function with an explicit dependence on the longitudinal momentum fraction $x$.

Published as SciPost Phys. Proc. 8, 037 (2022)

1. In the first sentence of section 2, "introduction" replaced by "introduce".

2. Latex reference error on page 3, sentence 5 (corrected)

3. Latex reference error on page 4, sentence 5 (corrected)