Heavy Flavour production as probe of Gluon Sivers Function
Rohini M. Godbole, Abhiram Kaushik, Anuradha Misra, Vaibhav Rawoot,, Bipin Sonawane

TL;DR
This paper investigates how heavy flavour production, specifically $J/C6$ and $D$-mesons, can be used to probe the gluon Sivers function by analyzing transverse single spin asymmetries in polarized proton scattering.
Contribution
It presents a comparative analysis of different gluon Sivers function models and examines the impact of transverse momentum dependent evolution on asymmetries.
Findings
Different gluon Sivers function models produce varying asymmetry predictions.
Evolution effects significantly influence the magnitude of the predicted asymmetries.
The study enhances understanding of gluon spin-momentum correlations in proton structure.
Abstract
Heavy flavour production like and - meson production in scattering of electrons/unpolarized protons off polarized proton target offer promising probes to investigate gluon Sivers function. In this talk, I will summarize our recent work on trasverse single spin asymmetry in -production and - meson production in scattering using a generalized parton model approach. We compare predictions obtained using different models of gluon Sivers function within this approach and then, taking into account the transverse momentum dependent evolution of the unpolarized parton distribution functions and gluon Sivers function, we study the effect of evolution on asymmetry.
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