NLO JIMWLK evolution with massive quarks

Abstract

NLO evolution of the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) equation with massless quarks was derived a few years ago. We make a step further to compute the evolution kernels focusing on the effects due to finite quark masses. To this goal, the light-cone wave function of a fast moving dilute hadronic projectile is computed up to $\mathcal{O}(g^3)$ in QCD coupling constant. Compared with the massless case, a new IR divergence emerges, which is eventually canceled by a mass dependent counter term. Our results extend the theoretical tools used in physics of gluon saturation and aim at improving precision in future phenomenological applications.

36 pages, 5 figures

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• NLO evolution of color dipoles
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• Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
• Non-linear evolution in QCD at high-energy beyond leading order
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Cited by in corpus (2)

• Back-to-back inclusive dijets in DIS at small $x$: Sudakov suppression and gluon saturation at NLO
• Dihadron production in DIS at NLO: the real corrections