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Infrared renormalon effects in color dipole TMD PDF at small-$x$

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arxiv 1911.12055 v1 pith:QYHAVNQM submitted 2019-11-27 hep-ph hep-thnucl-th

classification hep-phhep-thnucl-th
keywords betacolordipoleeffectsestimatedinfraredlambdaleft
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The uncertainties from the infrared renormalons in the (color dipole) gluon distribution is estimated. It is shown that non-linear saturation effects at small-$x$ shift the first IR pole at the Borel plane from $2/\beta_2$ to $1/\beta_2$. As a consequence the estimated uncertainty is found to be ${\cal O}\left(\Lambda_{\rm QCD}^2\right)$ instead of ${\cal O}\left(\Lambda_{\rm QCD}^4\right)$.

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Cited by 1 Pith paper

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  1. Small-$x$ evolution of dipole amplitude in momentum space: forward--off-forward correspondence

    hep-ph 2024-11 conditional novelty 5.0 of 10

    The authors propose that the off-forward pomeron and odderon amplitudes evolve as the sum and difference, respectively, of the corresponding forward amplitudes evaluated at rescaled momenta.

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