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We study all the possible spin asymmetries that can arise in back-to-backelectron-jet production, $ep\rightarrow e+\text{jet}+X$, as well as theassociated jet fragmentation process, $ep\rightarrow e+ \text{jet} (h)+X$, inelectron-proton collisions. We derive the factorization formalism for thesespin asymmetries and perform the corresponding phenomenology for the kinematicsrelevant to the future electron ion collider. In the case of unpolarizedelectron-proton scattering, we also give predictions for azimuthal asymmetriesfor the HERA experiment. This demonstrates that electron-jet production is anoutstanding process for probing unpolarized and polarized transverse momentumdependent parton distribution functions and fragmentation functions.

Spin asymmetries in electron-jet production at the future electron ion collider