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I discuss a framework that combines the higher-twist formalism for exclusive processes in the s-channel with the semi-classical effective theory describing small-x dynamics in the t-channel. This framework is applied to the exclusive production of a transversely polarized light vector meson—a process that starts at next-to-leading power and for which standard collinear factorization breaks down. Within this approach, a comprehensive analysis of the full spin density matrix of the exclusive \rho-meson leptoproduction can be performed, focusing on the kinematic regime relevant for the Electron-Ion Collider (EIC).