Color-Kinematics Duality and Dual Conformal Symmetry for A Four-loop Form Factor in N=4 SYM
High Energy Physics - Theory
2024-12-03 v2 High Energy Physics - Phenomenology
Abstract
We obtain the full-color four-loop three-point form factor of the stress-tensor supermultiplet in N=4 SYM, based on the color-kinematics (CK) duality and generalized unitarity method. The CK-dual solution, while manifesting all dual Jacobi relations and satisfying the minimal power-counting of loop momenta, lies in a 133-dimensional solution space. We also show that the planar form factor integrand satisfies precisely a directional dual conformal symmetry in the lightlike limit of the operator momentum, which is supported by explicit four-loop calculations.
Cite
@article{arxiv.2112.09123,
title = {Color-Kinematics Duality and Dual Conformal Symmetry for A Four-loop Form Factor in N=4 SYM},
author = {Guanda Lin and Gang Yang and Siyuan Zhang},
journal= {arXiv preprint arXiv:2112.09123},
year = {2024}
}
Comments
6 pages, 7 figures, 1 table; v2: published version, typos corrected, modification in the discussion section