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The first part of this lecture is a general introduction to distribution and fragmentation functions, the “soft” functions which imbed the full information on the polarization structure of the nucleon in terms of its elementary constituents. I then concentrate on the description of two of these objects, yet unknown: the transversity distribution and the Collins fragmentation functions. The determination of these two soft functions will be the focal point of the last part of my lecture, where a global analysis of the experimental data on azimuthal asymmetries in Semi-Inclusive Deep Inelastic Scattering (SIDIS), from the HERMES and COMPASS Collaborations, and in e+e−→h1h2X processes, from the Belle Collaboration, will be presented.
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