BFKL pomeron in the next-to-next-to-leading approximation in the planar N=4 SYM theory

Abstract

We find the eigenvalue of the kernel of BFKL equation in the next-to-next-to-leading logarithm approximation in the planar N=4 SM theory from the constraints, coming from the six-loop anomalous dimension of twist-2 operators and known large-gamma limit.

17 pages

References in corpus (5)

• NNLO BFKL Pomeron eigenvalue in N=4 SYM
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• Analytic continuation of the Mellin moments of deep inelastic structure functions
• Three loop anomalous dimension of the non-singlet transversity operator in QCD
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Cited by in corpus (9)

• On a residual freedom of the next-to-leading BFKL eigenvalue in color adjoint representation in planar $\mathcal{N}=4$ SYM
• BFKL Eigenvalue and Maximal Alternation of Harmonic Sums
• Taming of preasymptotic small x evolution within resummation framework
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type
• Analytic continuation of harmonic sums: dispersion representation
• NNNLLA BFKL pomeron eigenvalue in the planar N=4 SYM theory
• Universal transcendentality limit of BFKL eigenvalue