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, k t . It unifies the previously derived transverse momentum dependent (TMD) factorization for small k t (of the order of the saturation scale), and the High Energy Factorization (HEF) for large k t (of the order of the momentum of the jets). We extend the previous TMD formula, first to finite N c , and then to all ranges of k t 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 We present previously unpublished analytical expressions for the TMD gluon distributions in the Golec-Biernat-Wusthoff model, and their perturbative behaviour in the McLerran-Venugopalan model.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.