An update from the MAP Collaboration on the latest advancements in TMD Phenomenology

In this talk, I will provide an update on recent advancements in the phenomenology of Transverse Momentum Distributions (TMDs), with a particular focus on the latest work from the MAP Collaboration. TMDs play a crucial role in understanding the three-dimensional structure of hadrons and are essential for describing processes such as semi-inclusive deep inelastic scattering (SIDIS) and hadron-hadron collisions. I will highlight global fit results and the incorporation of novel techniques, such as neural networks, to model the non-perturbative part of the TMDs.

Different phenomenological frameworks employed to obtain TMDs will be discussed, highlighting the successes and challenges of current approaches. Building on these developments, significant advancements have also been made in recent years in extracting polarized TMDs, like the Sivers function, transversity and the helicity TMD. These advancements deepen our understanding of spin-dependent phenomena and the internal spin structure of hadrons, bringing us closer to a comprehensive picture of hadron dynamics in momentum space.