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Quantum Corrections to the Weizs\"acker--Williams Distribution Function as Small x

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arxiv hep-ph/9508302 v1 pith:GJVOIGDK submitted 1995-08-14 hep-ph

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

We compute the quantum corrections to the gluon distribution function in the background of a non--Abelian Weizs\"acker--Williams field. These corrections are valid to all orders in the effective coupling $\alpha_s \mu$, where $\mu^2$ denotes the average valence quark color charge squared per unit area. We find $\ln(1/x)$ logarithmic corrections to the classical gluon distribution function. The one loop corrections to the classical Weizs\"acker-Williams field do not contribute to these singular terms in the distribution function. Their effect is to cause the running of $\alpha_s$.

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Forward citations

Cited by 4 Pith papers

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  1. Forward trijet production in proton-nucleus collisions: gluon initiated channel

    hep-ph 2026-04 unverdicted novelty 7.0 of 10

    The gluon-initiated trijet channel in forward pA collisions is calculated at leading order in CGC, revealing a four-gluon vertex structure matching instantaneous terms and showing how rapidity and collinear divergence...

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    hep-ph 2026-04 accept novelty 6.5 of 10

    Analytical CGC amplitudes and cross sections for forward g o q¯qg and g o ggg trijet production in pA collisions are obtained, with rapidity and collinear divergences shown to match JIMWLK and DGLAP evolution.

  3. Small $x$ behavior in QCD from maximal entanglement and conformal invariance

    hep-ph 2025-08 conditional novelty 4.0 of 10

    Bethe Ansatz finite-size corrections to Lipatov's spin chain yield c=1, which fixes the small-x gluon scaling to x^{-1/3}.

  4. QCD-Gravity double copy in Regge asymptotics: from $2\rightarrow n$ amplitudes to radiation in shockwave collisions

    hep-th 2025-07 accept novelty 3.0 of 10

    A lecture-note synthesis showing that the same Lipatov vertices and reggeized propagators govern multi-particle production in QCD and gravity, with double-copy, Weinberg soft, and shockwave limits all connected in one...

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