Exploring the Feasibility of Extracting Orbital Angular Momentum at Small x from Polarized Elastic Dijet Production

We analyze the production of dijets when an electron collides elastically with a proton at small values of quark and gluon momentum fractions x. This observable is sensitive to quantities that allow us to calculate the orbital angular momentum (OAM) of quarks and gluons within the proton. Namely, through various azimuthal modulations, we can extract the so-called polarized dipole moment amplitudes. This is done by calculating both the polarized and unpolarized cross sections and then taking ratios of these to form asymmetries. We estimate the statistical uncertainties for a future experiment at the Electron-Ion Collider with polarized proton, deuteron, and He-3 beams. We then assess the feasibility of extracting the polarized dipole moment amplitudes from these measurements and the impact they can have on our knowledge of OAM at small x.