NNLO BFKL Pomeron eigenvalue in N=4 SYM

TL;DR

This paper derives an analytical expression for the NNLO BFKL Pomeron eigenvalue in planar N=4 SYM using integrability techniques, verified numerically with high precision, and introduces a general perturbative solution method for Quantum Spectral Curves.

Contribution

It provides the first analytical formula for the NNLO BFKL Pomeron eigenvalue in N=4 SYM and develops a new perturbative approach for solving Quantum Spectral Curves.

Findings

Analytical expression for NNLO BFKL Pomeron eigenvalue derived.

Numerical verification with over 60 digits precision achieved.

New general method for perturbative solutions of QSC introduced.

Abstract

We obtain an analytical expression for the Next-to-Next-to-Leading order of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron eigenvalue in planar SYM N=4 using Quantum Spectral Curve (QSC) integrability based method. The result is verified with more than 60 digits precision using the numerical method developed by us in a previous paper. As a byproduct we developed a general analytic method of solving the QSC perturbatively.