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Helicity Evolution at Small $x$: the Single-Logarithmic Contribution

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arxiv 2104.11765 v3 pith:42BF4AHH submitted 2021-04-23 hep-ph hep-exnucl-exnucl-th

Yuri V. Kovchegov , Andrey Tarasov , Yossathorn Tawabutr This is my paper
classification hep-phhep-exnucl-exnucl-th
keywords evolutionkernelsingle-logarithmicalphaequationscorrectionscouplingdouble-logarithmic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate single-logarithmic corrections to the small-$x$ flavor-singlet helicity evolution equations derived recently in the double-logarithmic approximation. The new single-logarithmic part of the evolution kernel sums up powers of $\alpha_s \ln(1/x)$, which are an important correction to the dominant powers of $\alpha_s \ln^2(1/x)$ summed up by the double-logarithmic kernel at small values of Bjorken $x$ and with $\alpha_s$ the strong coupling constant. The single-logarithmic terms arise separately from either the longitudinal or transverse momentum integrals. Consequently, the evolution equations we derive employing the light-cone perturbation theory simultaneously include the small-$x$ evolution kernel and the leading-order polarized DGLAP splitting functions. We further enhance the equations by calculating the running coupling corrections to the kernel.

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Cited by 3 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. Global analyses of helicity-dependent parton distribution functions

    hep-ph 2026-07 accept novelty 2.0 of 10

    Modern global QCD analyses agree that up-quark helicity is positive and down-quark helicity negative, with positive gluon polarisation at moderate x, while the full gluon spin moment remains limited by the unmeasured ...

  3. 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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