Framework for evolution in double parton scattering

Double parton scattering (DPS) describes two colliding hadrons having interactions in the form of two hard processes, each initated by a separate set of partons. Just as for single parton scattering, the resummation of soft gluons gives rise to a soft function, which is a necessary ingredient for obtaining rapidity evolution equations. For various regions of phase space, I derive the rapidity evolution and the scale evolution of double transverse momentum dependent parton distribution functions (DTMDs) as well as of the pT-resummed cross section for double Drell-Yan like processes. This contributes to a framework that could be used for phenomenological DPS studies including resummation.