Rodini, SimoneVladimirov, Alexey2023-06-222023-06-222022-08-021029-847910.1007/JHEP08(2022)031https://hdl.handle.net/20.500.14352/73034© The Authors. Authors are thankful to V.Braun, I.Scimemi and H.Avakian for discussions, helpful comments and suggestions. This study was supported by Deutsche Forschungsgemeinschaft (DFG) through the research Unit FOR 2926, "Next Generation pQCD for Hadron Structure: Preparing for the EIC", project number 430824754.We present an in-depth analysis of transverse momentum dependent (TMD) distributions of twist-three. In particular, we focus on evolution equations, symmetry relations, parameterization, interpretation, small-b asymptotic behaviour and the structure of singularities. The starting point of discussion are the correlators with the definite TMD-twist. By considering suitable combinations of these correlators, we introduce physical TMD distribution of twist-three that can be used for practical applications. We also establish relations with generic TMD distribution of twist-three, and demonstrate that their evolution equations are autonomous in the large-N-c limit.engAtribución 3.0 Españajournal articlehttp://dx.doi.org/10.1007/JHEP08(2022)031https://link.springer.com/open access53Parton distribution functionsRenormalizationOperatorsEquationsSpin.Física (Física)22 Física