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Abstract In this work, we analyse the all-orders resummation structure of the momentum sharing fraction, z g , opening angle, θ g , and relative transverse momentum, k t,g , of the splitting tagged by the Dynamical Grooming procedure in hadronic collisions. We demonstrate that their resummation does non-exponentiate and it is free of clustering logarithms. Then, we analytically compute the probability distributions of (z g , θ g , k t,g ) up to next-to-next-to-double logarithm accuracy (N2DL) in the narrow jet limit, including a matching to leading order in α s . On the phenomenological side, we perform an analytic-to-parton level comparison with Pythia and Herwig. We find that differences between the analytic and the Monte-Carlo results are dominated by the infra-red regulator of the parton shower. Further, we present the first analytic comparison to preliminary ALICE data and highlight the role of non-perturbative corrections in such low-p t regime. Once the analytic result is corrected by a phenomenologically determined non-perturbative factor, we find very good agreement with the data.