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Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon

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arxiv 2207.03378 v2 pith:JDROVBBK submitted 2022-07-07 hep-ph

classification hep-ph
keywords nucleongluondistributionevolutiongeneralizedpartonsmall-association
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the small-$x$ evolution equation for the gluon generalized parton distribution (GPD) $E_g$ of the nucleon. It is shown that $E_g$ at vanishing skewness exhibits the Regge behavior identical to the BFKL Pomeron, despite its association with nucleon helicity-flip processes. We also consider the effect of gluon saturation and demonstrate that $E_g$ gets saturated in the same way as its helicity-nonflip counterpart $H_g$. Our result has a direct impact on the modeling of $E_g$ as well as the small-$x$ contribution to nucleon spin sum rules.

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Cited by 2 Pith papers

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

  1. On the Two $R$-Factors in the Small-$x$ Shockwave Formalism

    hep-ph 2026-04 unverdicted novelty 5.0 of 10

    Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.

  2. Spin Structure of the Nucleon: Overview

    hep-ph 2026-07 unverdicted

    A pedagogical review consolidates the proton spin decomposition into quark/gluon spin and orbital angular momentum, emphasizing gauge-invariant OAM definitions, small-x cancellations, and EIC observables.

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