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We present a new study on helicity amplitudes and cross sections for theexclusive production of $\rho$ mesons at the EIC in high-energy factorization.In this framework the analytic expression of amplitudes takes the form of aconvolution between an off-shell impact factor, depicting the ($\gamma^* \to\rho$) transition, and a nonperturbative density, known as Unintegrated GluonDistribution (UGD) that encodes information about the proton structure at low$x$ and evolves according to the BFKL equation. We come out with an evidencethat observables sensitive to the polarizations of the incoming virtual photonand of the emitted meson allow us to discriminate among different UGD modelsand to gather quantitative information on the proton content at high energies.

Exclusive emissions of polarized $\rho$ mesons at the EIC and the proton content at low $x$