Quark and scalar propagators at next-to-eikonal accuracy in the CGC through a dynamical background gluon field
Abstract
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 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.
Keywords
Cite
@article{arxiv.2109.01620,
title = {Quark and scalar propagators at next-to-eikonal accuracy in the CGC through a dynamical background gluon field},
author = {Tolga Altinoluk and Guillaume Beuf},
journal= {arXiv preprint arXiv:2109.01620},
year = {2022}
}
Comments
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