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Elastic Dijet Production in Electron Scattering on a Longitudinally Polarized Proton at Small $x$: A Portal to Orbital Angular Momentum Distributions

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arxiv 2410.21260 v2 pith:57IGFMAY submitted 2024-10-28 hep-ph hep-exnucl-exnucl-th

Yuri V. Kovchegov , Brandon Manley This is my paper · ORCID
classification hep-phhep-exnucl-exnucl-th
keywords distributionsprotonbhattacharyaelasticgluonproductionquarksmall
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the elastic production of dijets from electron collisions with a longitudinally polarized proton target at small values of the Bjorken $x$ variable. Building on the pioneering proposals of \cite{Hatta:2016aoc,Bhattacharya:2022vvo, Bhattacharya:2023hbq, Bhattacharya:2024sck} for measuring the quark and gluon orbital angular momentum (OAM) distributions, our focus is on both the longitudinal double spin asymmetry (DSA) and longitudinal single spin asymmetry (SSA). We compute the numerators of these asymmetries in the small-$x$ formalism of the light-cone operator treatment. Utilizing the small-$x$ expressions for the OAM distributions derived in our earlier paper, we demonstrate that the DSA provides a robust probe for both the quark and gluon OAM distributions within the proton. In contrast, we find that while the SSA is also sensitive to the OAM distributions, extraction of the latter from the SSA would require new developments in small-$x$ theory and phenomenology, and is probably not feasible at this point in time. These findings highlight the potential of DSA measurements in elastic dijet production at the future Electron-Ion Collider to provide the first-ever direct access to the quark and gluon OAM distributions at small $x$, paving the way for new insights into the proton spin puzzle.

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Cited by 5 Pith papers

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  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.

  5. Spin Structure of the Nucleon: Overview

    hep-ph 2026-07 unverdicted

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