2013
DOI: 10.1103/physrevd.88.111501
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Rapidity evolution of Wilson lines at the next-to-leading order

Abstract: At high energies particles move very fast so the proper degrees of freedom for the fast gluons moving along the straight lines are Wilson-line operators - infinite gauge factors ordered along the line. In the framework of operator expansion in Wilson lines the energy dependence of the amplitudes is determined by the rapidity evolution of Wilson lines. We present the next-to-leading order hierarchy of the evolution equations for Wilson-line operators.Comment: 5 pages and 2 figures, PRD version with typos correc… Show more

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Cited by 150 publications
(187 citation statements)
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“…The NLO corrections to the BFKL [44,45] and BK [17][18][19][20][46][47][48][49] equation are available but they suffer from the well-known problem that they lead to negative cross sections. This difficulty can be overcome by the "collinear resummation" of double-logarithmic contributions for the BFKL [50][51][52][53] and BK [54][55][56] equations and we hope that our eq.…”
Section: Jhep10(2015)017mentioning
confidence: 99%
“…The NLO corrections to the BFKL [44,45] and BK [17][18][19][20][46][47][48][49] equation are available but they suffer from the well-known problem that they lead to negative cross sections. This difficulty can be overcome by the "collinear resummation" of double-logarithmic contributions for the BFKL [50][51][52][53] and BK [54][55][56] equations and we hope that our eq.…”
Section: Jhep10(2015)017mentioning
confidence: 99%
“…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].…”
mentioning
confidence: 99%
“…Another aspect which would be interesting to pursue is to derive NLO corrections to the BJKP equation in the CGC formalism. This is now possible due to the recent computation of NLO corrections to the JIMWLK equation [23]. We plan to take this up in the near future.…”
Section: Discussionmentioning
confidence: 99%