Spin-flip gluon GTMD at small-
Sanskriti Agrawal🇮🇳 · Nahid Vasim🇮🇳 · Raktim Abir🇮🇳
Until recently the spin-flip processes in the deep inelastic scatterings are thought to be suppressed in the high energy. We found a positive intercept for the spin-flip generalized transverse momentum-dependent parton distribution (GTMDs) as, \begin{eqnarray} {\rm Re}(F_{1,2}) \sim \left(\frac{1}{x}\right)^{{\bar \alpha}_s\left(4\ln2-8/3\right)} \left(\cos 3\phi_{k\Delta} +\cos \phi_{k\Delta}\right). \nonumber \end{eqnarray} This is done by analytically solving the integro-differential evolution equation for , recently proposed by Hatta and Zhou, in the dilute regime. Interestingly, the surviving solution corresponds to conformal spin and carries an explicit azimuthal dependence. As the imaginary part of , is related to the spin-dependent odderon or gluon Siver function and scales as , the positive intercept for , implies that it is expected to dominate over the gluon Siver function in the small- limit - and may directly impact the modeling of unpolarised GTMDs and associated spin-flip processes.