Polarized proton-proton collisions provide leading-order access to gluons,
presenting an opportunity to constrain gluon spin-momentum correlations within
transversely polarized protons and enhance our understanding of the
three-dimensional structure of the proton. Midrapidity open-heavy-flavor
production at $sqrt{s}=200$ GeV is dominated by gluon-gluon fusion, providing
heightened sensitivity to gluon dynamics relative to other production channels.
Transverse single-spin asymmetries of electrons and positrons from heavy-flavor
hadron decays are measured at midrapidity using the PHENIX detector at the
Relativistic Heavy Ion Collider. These charge-separated measurements are
sensitive to gluon correlators that can in principle be related to gluon
orbital angular momentum via model calculations. Explicit constraints on gluon
correlators are extracted for two separate models, one of which had not been
constrained previously.
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