Saturation Correction to Projectile -- some O(g5){\cal{O}}(g^5) results within LCPT

We revisited the first saturation correction to projectile in nucleus-nucleus collisions \cite{Chirilli:2015tea} within diagrammatic light cone perturbation theory (LCPT). To get an analytic expression for the saturation correction in projectile authors in \cite{Chirilli:2015tea} calculated complete ${\cal{O}}(g^3)$ amplitudes, where the main results are given in transverse coordinate space. However to find the complete first saturation correction in the projectile, one needs to calculate both ${\cal{O}}(g^3)$ and ${\cal{O}}(g^5)$ gluon production amplitudes. We here present a detailed calculation of a sample graph at ${\cal{O}}(g^5)$ in diagrammatic light cone perturbation theory.Comment: 1 figur

Orbital Angular Momentum Distribution of Gluons at Small-xx : Analytic interpolation between Ji and Jaffe-Manohar

We introduced a generalized Wilson line gauge link that reproduces both staple and near straight links in different limits. We then studied the gauge-invariant bi-local orbital angular momentum operator with such a general gauge link, in the framework of Chen et. al. decomposition of gauge fields. At the appropriate combination of limits, the operator reproduces both Jaffe-Manohar and Ji's operator structure and offers a continuous analytical interpolation between the two in the small-$x$ limit. We also studied the potential OAM which is defined as the difference between the two, and how it depends on the geometry or orientation of the gauge links