Solution of the NLO BFKL Equation and a Strategy for Solving the All-Order BFKL Equation
Giovanni A. Chirilli, Yuri V. Kovchegov
TL;DR
This paper develops a perturbative method to solve the NLO BFKL equation by expanding around LO eigenfunctions, providing a strategy to solve the BFKL equation at all orders in the coupling constant.
Contribution
It introduces a novel perturbative approach to derive solutions of the BFKL equation at NLO and beyond, based on eigenfunction expansion.
Findings
Derived the NLO BFKL solution using eigenfunction expansion.
Proposed a general strategy for all-order BFKL solutions.
Method applicable to kernels calculated at any order in coupling.
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.
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