NLO BFKL and Anomalous Dimensions of Light-Ray Operators§

Ian Balitsky*
Physics Department, ODU, Norfolk VA 23529, USA and Theory Group, Jlab, 12000 Jefferson Ave, Newport News, VA 23606, USA

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© Ian Balitsky; Licensee Bentham Open.

open-access license: This is an open access article licensed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.

* Address correspondence to this author at the Theory Group, Jlab, 12000 Jefferson Ave, Newport News, VA 23606, USA; E-mail:
§ Presented at the Low x workshop, May 30 - June 4 2013, Rehovot and Eilat, Israel


The anomalous dimensions of light-ray operators of twist two are obtained by analytical continuation of the anomalous dimensions of corresponding local operators. I demonstrate that the asymptotics of these anomalous dimensions at the “BFKL point”. j→1 can be obtained by comparing the light-cone operator expansion with the highenergy expansion in Wilson lines.

PACS number(s): 12.38.Bx, 12.38.Cy.

Keywords: Anomalous dimension, BFKL, light-ray operators, QCD, Wilson lines.