Solution of the NLO BFKL Equation and a Strategy for Solving the All-Order BFKL Equation

Abstract

We derive the solution of the NLO BFKL equation by constructing its eigenfunctions perturbatively, using an expansion around the LO BFKL (conformal) eigenfunctions. This method can be used to construct a solution of the BFKL equation with the kernel calculated to an arbitrary order in the coupling constant.

17 pages; v2, v3: typos corrected, references added

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• NLO computation of diffractive di-hadron production in a saturation framework
• Valence Quark Transversity at Small $x$
• ${\gamma }^{\ast }{\gamma }^{\ast }$ Cross Section at NLO and Properties of the BFKL Evolution at Higher Orders
• The analytic structure and the transcendental weight of the BFKL ladder at NLL accuracy
• The ${\gamma }^{\ast }{\gamma }^{\ast }$ total cross section in next-to-leading order BFKL and LEP2 data
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• Diffractive single hadron production in a saturation framework at the NLO
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• On the solution to the NLO forward BFKL equation
• On a residual freedom of the next-to-leading BFKL eigenvalue in color adjoint representation in planar $\mathcal{N}=4$ SYM
• Structure functions from renormalization group improved small $x$ evolution
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• Taming of preasymptotic small x evolution within resummation framework
• On the solution of linearized (linear in S-matrix) Balitsky-Kovchegov equation
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