Extracting the transverse momentum dependent polarizing fragmentation functions

We demonstrate that spontaneous transverse polarization of lambda baryon (Lambda) production in e(+)e(-) annihilation can be described using the transverse momentum dependent polarizing fragmentation functions (TMD PFFs). Using a simple Gaussian model, we perform an extraction of the TMD PFFs by fitting the BELLE Collaboration's recent measurement of the Lambda transverse polarization in back-to-back Lambda + h production in e(+)e(-) collisions, e(-) + e(+) -> Lambda(up arrow) + h + X. We find that this simple model accurately describes the experimental data for. production associated with pions and kaons, and we are able to determine TMD PFFs for different quark flavors. We use these newly extracted TMD PFFs to make predictions for the transverse polarization of. produced in semi-inclusive deep inelastic scattering at a future electron-ion collider and find that such a polarization is around 10% and should be measurable. Furthermore, the extracted TMD PFFs have been made available open source.