NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories

By Anatoly V. Kotikov, L. Lipatov. 2000

272 citations recorded by the source corpus.

Abstract We study next-to-leading corrections to the integral kernel of the BFKL equation for high-energy cross-sections in QCD and in supersymmetric gauge theories. The eigenvalue of the BFKL kernel is calculated in an analytic form as a function of the anomalous dimension γ of the local gauge-invariant operators and their conformal spin n. For the case of an extended N=4 SUSY, the kernel is significantly simplified. In particular, the terms nonanalytic in n are canceled. We discuss the relation between the DGLAP and BFKL equations in the N=4 model.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0d8ddd5ccdcb804a5704bf49caf59258a02ae160

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Citations in the corpus

The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory (2003, background): “In fact the result of [13] could be used to fix the even coefficients C2k (2.”
Five-loop anomalous dimension of twist-two operators (2009, background): “The relation between the anomalous dimension of twist-two operators and the BalitskyFadin-Kuraev-Lipatov (BFKL) equation [4, 5, 6] and its next-to-leading order (NLO) generalisation [49, 50] emerges upon analytic continuation of the function γ(g,M), and therefore at weak coupling of each of the γ2l(”
DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory (2001, methodology): “[3, 4] one can calculate the eigenvalues of the BFKL kernel in the case of the non-symmetric choice for the energy normalization s0 in equation (15) related to the interpretation of the NLO corrections in the framework of the renormalization group.”
Dressing and wrapping (2007, methodology): “ding corrections to the position of the pomeron singularity near M = −1 [31]. Luckily this two-loop correction to the BFKL equation was worked out in the case of the N = 4 supersymmetric gauge theory [32, 21]. The two-loop corrected BFKL equation, cf (1.6), for the twist-two case can be written in t”
Hexagon Wilson loop = six-gluon MHV amplitude (2008, unknown): “[28] and the three-loop correction was later conﬁrmed in Refs.”
DGLAP and BFKL Equations in N = 4 Supersymmetric Gauge Theory (2002, methodology): “The analyticity of the eigenvalue of the BFKL kernel as a function of the conformal spin |n| gives a possibility to relate in the leading logarithmic approximation (LLA) the DGLAP and BFKL equations in this model (see [4]).”
The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, background): “If the discovered integrable structures are not accidental, we should expect that the so(6) results of [48] and the sl(2) results suggested from one-loop QCD [54,55] (see also [43,57]) can be combined and ‘lifted’ to a full psu(2, 2|4) super spin chain.”
The N=4 SYM Integrable Super Spin Chain (2003, background): “At first sight this m appears to be incredibly complicated due to the very large number of fields of dif kinds, but upon closer inspection many hidden simplicities appear.”
Higher Spin Symmetry and N = 4 SYM (2004, background): “rent multiplet V 0 = V 2,0 [0†,0†][0†,2,0†] . The remaining multiplets V 2n acquire anomalous dimensions which violate the conservation of their HS currents at the quantum level. At one-loop, one has [49,21] γ 1−loop(2n) = g2 YM N 2π2 h(2n), h(j) = Xj k=1 1 k , (5.2) This elegant (’number theoretic’”