Towards a unification of gluon distributions at small and moderate x

Abstract: Understanding the relation between QCD evolution in the Bjorken limit and the Regge limit is crucial to achieve a complete and smooth picture of proton and nuclear structure. The hope in the small x regime, where gluon density is expected to reach saturation and the naif partonic picture is expected to break down, was that by computing higher order corrections to small x evolution (BK equations) one would capture more and more of the physics at moderate x. However, this research program has encountered some challenges. At NLO large collinear logarithms are present and needs to be resummed spoiling the renormalization group structure established at LO. In order to overcome these formal difficulties we propose to revisit the shock wave approach for high energy scattering by proposing a new gauge invariant operator definition of hadronic operators that account systematically for the collinear limit of structure functions. I will discuss in particular inclusive DIS as a first application. More information: https://igfae.usc.es/igfae/seminar/122