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 Nextto-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 nontrivial dynamics instead of on a static one, by going beyond infinite Lorentz time dilation of the target.

Jet broadening in dense inhomogeneous matter

“…It would be interesting to better understand the relation between the jet quenching formalisms considered here and other approaches which can describe jet evolution in inhomogeneous and evolving media, see e.g. [86][87][88]. In turn, extension to the DIS context would require the present calculation to be updated to the corresponding kinematical regime with particular focus on the factorization of the jet production and its propagation through the medium, see e.g.…”

Deep Inelastic Scattering in the Dipole Picture at Next-to-Leading Order

“…The NLO BK equation has been derived in the target momentum fraction prescription [52], the behavior of which will be important to compare to the projectile momentum fraction picture equation [58]. Finite-N c corrections to the NLO BK equation have been calculated [59], and corrections to the eikonal approximation are being calculated for the gluon and quark propagators in next-to-eikonal accuracy [161][162][163][164]. The NLO DIS cross sections for massive quarks will be of great interest from the perspective of this thesis, since they will make possible to account for the contribution of the charm quark in the HERA data, which will improve the accuracy of the analysis.…”