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arXiv · 1505.01400

Next-to-next-to-eikonal corrections in the CGC

Tolga Altinoluk·Néstor Armesto·Guillaume Beuf·Alexis Moscoso
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Abstract

We extend the study of corrections to the eikonal approximation that was initiated in Ref. \cite{Altinoluk:2014oxa} to higher orders. These corrections associated with the finite width of the target are investigated and the gluon propagator in background field is calculated at next-to-next-to-eikonal accuracy. The result is then applied to the single inclusive gluon production cross section at central rapidities and the light-front helicity asymmetry, in pA collisions, in order to analyse these observables beyond the eikonal limit. The next-to-next-to-eikonal corrections to the unpolarized cross section are non-zero and provide the first corrections to the usual $k_\perp$-factorized expression. In contrast, the eikonal and next-to-next-to-eikonal contributions to the helicity asymmetry vanish, while the next-to-eikonal ones are non-zero.

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Tolga Altinoluk, Néstor Armesto, Guillaume Beuf, Alexis Moscoso. 2015-05-06. Next-to-next-to-eikonal corrections in the CGC. https://doi.org/10.1007/jhep01(2016)114

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