Abstract
We compute sea quark Sivers distribution within color glass condensate (CGC) framework. It has been found that up to the leading logarithm accuracy, the collinear twist-3 approach and the CGC calculation yield the same result for sea quark Sivers distribution in the dilute limit. We further verify that transverse momentum dependent factorization is consistent with CGC treatment at small x for the case of transverse single spin asymmetry in open charm quark production in semi-inclusive deeply inelastic scattering process in an overlap kinematical region.
Highlights
Sea quark Sivers distributionIt turns out that the spin dependent odderon is the only possible source contributing to transverse single spin asymmetries(SSAs) at small x in the context of TMD factorization and CGC framework
Polarization dependent phenomenology at small x has attracted a lot of attentions in recent years, as it plays an important role in studying gluon tomography of nucleon/nuclei
We compute sea quark Sivers function in terms of the C-odd part of the dipole amplitude which is identified as spin dependent odderon inside a transversely polarized target
Summary
It turns out that the spin dependent odderon is the only possible source contributing to transverse single spin asymmetries(SSAs) at small x in the context of TMD factorization and CGC framework. With the derived sea quark Sivers function, we are able to recover TMD formalism result for this observable in the kinematical region where the produced open charm transverse momentum is much smaller than the virtual photon off shellness Q. In view of these findings, it might be fair to claim that the spin dependent odderon plays a central role in describing SSAs phenomenology in the small x region. For the spin independent case, the odderon contribution arises from the transverse gradient of color source distribution [16], while an axial asymmetrical valence quark distribution in the transverse plane of a transversely polarized nucleon gives rise to a spin dependent odderon [19]
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