title: Pomeron Eigenvalue at Three Loops in N=4 Supersymmetric Yang-Mills Theory.
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 N=4 SYM using quantum spectral curve (QSC) integrability-based method. The result is verified with more than 60-digit precision using the numerical method developed by us in a previous paper [N. Gromov, F. Levkovich-Maslyuk, and G. Sizov, arXiv:1504.06640]. As a by-product, we developed a general analytic method of solving the QSC perturbatively.
authors.affiliation: Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom.|St.Petersburg INP, Gatchina, 188300 St.Petersburg, Russia.
authors.forename: Nikolay
authors.initials: N
authors.lastname: Gromov
authors.affiliation: Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom.
authors.forename: Fedor
authors.initials: F
authors.lastname: Levkovich-Maslyuk
authors.affiliation: Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom.
authors.forename: Grigory
authors.initials: G
authors.lastname: Sizov