NLO JIMWLK evolution unabridged

Abstract

In Ref. [1] we presented the JIMWLK Hamiltonian for high energy evolution of QCD amplitudes at the next-to-leading order accuracy in ${\alpha }_s$. In the present paper we provide details of our original derivation, which was not reported in [1], and provide the Hamiltonian in the form appropriate for action on color singlet as well as color nonsinglet states. The rapidity evolution of the quark dipole generated by this Hamiltonian is computed and compared with the corresponding result of Balitsky and Chirilli [2]. We then establish the equivalence between the NLO JIMWLK Hamiltonian and the NLO version of the Balitsky's hierarchy [3], which includes action on nonsinglet combinations of Wilson lines. Finally, we present complete evolution equation for three-quark Wilson loop operator, thus extending the results of Grabovsky [4].

39 pages

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• NLO evolution of color dipoles
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Cited by in corpus (8)

• Single-inclusive particle production in proton-nucleus collisions at next-to-leading order in the hybrid formalism
• Non-linear evolution in QCD at high-energy beyond leading order
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate
• Hard scale dependent gluon density, saturation and forward-forward dijet production at the LHC
• NLO evolution of 3-quark Wilson loop operator
• Initial state in relativistic nuclear collisions and Color Glass Condensate
• Small-$x$ QCD evolution of $2n$ Wilson line correlator: the weak field limit