Global QCD Analysis of Proton's Transverse Structure through TMDs and DiFFs

A new global QCD analysis by the JAM collaboration performs the first extraction of transversity PDFs and tensor charges using both the Transverse Momentum Distribution (TMD) and Dihadron Fragmentation Function (DiFF) channels simultaneously, including all currently available experimental data. Known theoretical constraints on transversity, namely, its small-$x$ asymptotic behavior and the Soffer bound, are incorporated in the fit. We test compatibility with lattice-QCD calculations for the tensor charges by including them in the fit, in order to prove or disprove whether there is a universal nature to all of the available information on transversity distributions and tensor charges of the nucleon.