Quark and scalar propagators at next-to-eikonal accuracy in the CGC through a dynamical background gluon field
Tolga Altinoluk, Guillaume Beuf
备注：
46 pages. This version includes an improved discussion of the power counting used for subeikonal corrections. The derivation of next-to-eikonal effects associated with the dynamics of the target is also significantly improved, and exposed in the new appendix D
We revisit the calculation of quark and scalar propagators in a gluon background field at Next-to-Eikonal accuracy, which will provide the first power correction to scattering processes in the high-energy limit, including gluon saturation effects. The two main results of our study are as follows. First, we derive a very general Next-to-Eikonal expansion of the quark propagator in terms of the scalar propagator, which allows us to isolate spinor-specific Next-to-Eikonal corrections from the universal ones. Second, we present a new method allowing, for the first time, a systematic calculation of the Next-to-Eikonal corrections coming from the $x^-$ dependence of the background field. This opens the possibility to study high-energy scattering processes on a target with non-trivial dynamics instead of on a static one, by going beyond infinite Lorentz time dilation of the target.
Dijet production in DIS off a large nucleus at next-to-eikonal accuracy in a Gaussian model within the CGC framework
National Centre for Nuclear Research（国家核研究中心）；Universidade de Santiago de Compostela（圣地亚哥-德孔波斯特拉大学）；Jagiellonian University（雅盖隆大学）；University of Helsinki（赫尔辛基大学）
Back-to-back dijet production in DIS at arbitrary Bjorken-x: TMD gluon distributions to twist-3 accuracy
Brookhaven National Laboratory（布鲁克海文国家实验室）；North Carolina State University（北卡罗来纳州立大学）；Center for Frontiers in Nuclear Science (CFNS) at Stony Brook University（石溪大学核科学前沿中心）
