Computing the gluon Sivers function at small-$x$

Xiaojun Yao, Yoshikazu Hagiwara, Yoshitaka Hatta

We compute the gluon Sivers function $f_{1T}^{\perp g}(x,k_{\perp })$ of the transversely polarized nucleon at small-$x$ by exploiting the known connection between the dipole gluon Si…