Speaker
Description
The gluon Sivers function (GSF) is a central object in the study of the proton's 3D structure, encoding the intrinsic correlation between gluon transverse momentum and the transverse spin of the nucleon. Beyond its importance for proton tomography, the GSF fundamentally links parton orbital angular momentum and single spin asymmetries to the spin-dependent Odderon, rendering it particularly interesting from both theoretical and phenomenological perspectives.
In this talk, I will present results for the GSF within an eikonal model of the proton, where the Fock space is truncated at its valence-quark content. Numerically evaluating the C-odd cubic color charge correlator reveals a novel logarithmic behavior for the GSF at low $|k_\perp|$, signalling potentially large non-perturbative contributions. A key consequence of this behavior, when paired with the sum rule $\int\mathrm{d}^2k_\perp f_{1T}^{g\perp}(x,k_\perp) = 0$, is that higher $|k_\perp|$-moments of the GSF are suppressed. This suppression poses a significant challenge for the measurement of the collinear tri-gluon PDF, i.e. the $|k_\perp|^2$ moment of the GSF. Finally, I assess the phenomenological viability of various channels.
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