Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution at next to leading order

Abstract

The Jalilian-Marian,Iancu, McLerran, Weigert, Leonidov, Kovner (JIMWLK) Hamiltonian for high energy evolution of QCD amplitudes is presented at the next-to-leading order accuracy in ${\alpha }_s$. The form of the Hamiltonian is deduced from the symmetries and the structure of the hadronic light cone wavefunction and by comparing the rapidity evolution of the quark dipole and the three-quark singlet states with results available in the literature. The next-to-leading corrections should allow for more robust phenomenological applications of perturbative saturation approach.

5 pages, an explanatory appendix added. Few minor corrections. Published version

References in corpus (11)

• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Triumvirate of Running Couplings in Small-x Evolution
• Rapidity evolution of Wilson lines at the next-to-leading order
• Photon impact factor in the next-to-leading order
• CGC predictions for p+A collisions at the LHC and signature of QCD saturation
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• Running coupling and power corrections in nonlinear evolution at the high--energy limit
• Quark loop contribution to BFKL evolution: Running coupling and leading-N_f NLO intercept
• Connected contribution to the kernel of the evolution equation for 3-quark Wilson loop operator
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