Hermitian Separability of BFKL eigenvalue in Bethe Salpeter approach

TL;DR

This paper uses the Bethe Salpeter approach to analyze the BFKL eigenvalue, deriving complex terms at next-to-next-to-leading order in N=4 SUSY and proposing a numerical method for reconstructing unknown functions.

Contribution

It introduces a natural incorporation of Hermitian Separability into the BFKL eigenvalue via the Bethe Salpeter approach and derives complex higher-order terms in N=4 SUSY.

Findings

Derived the most complex term of the NNLO BFKL eigenvalue in SUSY N=4.

Proposed a numerical technique for reconstructing unknown functions from known conformal spin data.

Abstract

We consider the Bethe Salpeter approach to the BFKL evolution in order to naturally incorporate the property of the Hermitian Separability in the BFKL approach. We combine the resulting all order ansatz for the BFKL eigenvalue together with reflection identities for harmonic sums and derive the most complicated term of the next-to-next-to-leading order BFKL eigenvalue in SUSY N=4. We also suggest a numerical technique for reconstructing the unknown functions in our ansatz from the known results for specific values of confomal spin.