Pomeron Eigenvalue at Three Loops in N=4 Supersymmetric Yang-Mills Theory

TY - JOUR

T1 - Pomeron Eigenvalue at Three Loops in N=4 Supersymmetric Yang-Mills Theory

AU - Gromov, Nikolay

AU - Levkovich-Maslyuk, Fedor

AU - Sizov, Grigory Alekseevich

PY - 2015/12/18

Y1 - 2015/12/18

N2 - 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.

AB - 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.

UR - http://arxiv.org/pdf/1507.04010.pdf

U2 - 10.1103/PhysRevLett.115.251601

DO - 10.1103/PhysRevLett.115.251601

M3 - Article

SN - 0031-9007

VL - 115

JO - Phys. Rev. Lett

JF - Phys. Rev. Lett

IS - 25

M1 - 251601

ER -