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The Parton Branching (PB) approach describes the evolution of transversemomentum dependent (TMD) parton densities. We propose to extend the PB methodby including TMD splitting functions, instead of the DGLAP splitting functionswhich assume strong ordering in transverse momentum. We present the evolutionequations and their numerical solution, which is the first Monte Carloimplementation including TMD splitting functions.

Implementing Transverse Momentum Dependent splitting functions in Parton Branching evolution equations