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Quark and scalar propagators at next-to-eikonal accuracy in the CGC through a dynamical background gluon field

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arxiv 2109.01620 v3 pith:WFF4L5OA submitted 2021-09-03 hep-ph

classification hep-ph
keywords next-to-eikonalbackgroundfieldfirstgluonquarkscalaraccuracy
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $x^-$ 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.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Analytic Solution for the Helicity Evolution Equations at Small $x$ and Large $N_c\&N_f$

    hep-ph 2025-07 conditional novelty 7.0 of 10

    An exact analytic solution of the revised large-Nc and large-Nf small-x helicity evolution equations in QCD, yielding all-order polarized DGLAP anomalous dimensions and small-x growth intercepts.

  2. Forward parton-nucleus scattering at next-to-eikonal accuracy in the CGC

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Full next-to-eikonal quark and gluon propagators in a dynamical gluon background are derived, and forward quark and gluon production cross sections are computed for quark-nucleus and gluon-nucleus scattering.

  3. Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence

    hep-ph 2026-04 unverdicted novelty 6.0 of 10

    A quantum-circuit framework maps partonic cross-sections for multi-particle QCD processes in media, benchmarked on dipole formation and antenna radiation at leading order.

  4. Quasi-Classical Evaluation of Gluon Saturation Induced Helicity Effects

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A saturation-induced helicity-dependent A+ gluon field contributes at order Qs^6 to the two-particle dijet correlation and further suppresses the back-to-back peak in polarized e-A collisions.

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