Forward di-jet production in dilute-dense collisions

Abstract

We propose a factorization formula for the cross section for forward di-jet production in dilute-dense collisions. The new formula is applicable for an arbitrary value of the momentum imbalance of the two jets, kt. It unifies the previously derived transverse momentum dependent (TMD) factorization for small kt (of the order of the saturation scale), and the High Energy Factorization (HEF) for large kt (of the order of the momentum of the jets). We extend the previous TMD formula, first to finite Nc, and then to all ranges of kt by including off-shell matrix elements. We present previously unpublished analytical expressions for the TMD gluon distributions in the Golec-Biernat-Wusthoff model, and their perturbative behaviour in the McLerran-Venugopalan model. In addition, we show directly the equivalence of the HEF and the color glass condensate formulae in the dilute target approximation.