Abstract
Low-x evolution of spin-dependent TMDs and spin g1 structure function are relevant for the future Electron Ion Collider. To study spin-dynamics at high energies it is necessary to extend the eikonal approximation to include sub-eikonal corrections. I will discuss the Operator Product Expansion (OPE) in terms of Wilson lines with sub-eikonal corrections and derive the sub-eikonal quark propagator.
Highlights
Most of the progress in high-energy QCD has been obtained within the eikonal approximation
The high precision reached by the experiments and the possibility to study spin-dynamics in Deep Inelastic (DIS) scattering at the proposed Electron Ion Collider [1], makes the study of sub-eikonal corrections especially timely
We have presented the quark propagator with sub-eikonal corrections in high-energy QCD
Summary
Most of the progress in high-energy QCD has been obtained within the eikonal approximation. In order to access the sub-eikonal corrections in high-energy QCD one has to study the sub-eikonal corrections of the propagators of the theory extending, in this way, the Operator Product Expansion to include the sub-eikonal corrections. The Balitsky-Kovchegov (BK) equation [4, 5] is the first of the Balitsky hierarchy and it is obtained in the mean field approximation. The sub-eikonal corrections will introduce new operators which we will result in new evolution equations providing further information on the QCD dynamics at high energy. We will start with the derivation of the scalar propagator in the background of a highly boosted gluonic field generated by the target in order to lay down the formalism and the notation used. We present the result for the quark propagator and make, as an example, a simple application of the OPE with the new derived operators
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