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arXiv · 2604.20377

Off-shell recursion for all-loop planar integrands in Yang-Mills theory

Yi-Xiao Tao
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Abstract

In this paper, we develop in detail the off-shell recursion for planar loop integrands in Yang-Mills theory. Starting from the classical equations of motion solved with the perturbiner method, we derive an exact transfer-matrix representation of the pure-gluon sector. We then include the ghost contributions to the loop kernels based on \cite{Tao:2025fch}. Finally, as an example, we work out the two-loop recursion in detail and conclude a general recursion strategy for two-loop planar integrands whose external legs are gluons.

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Yi-Xiao Tao. 2026-09-22. Off-shell recursion for all-loop planar integrands in Yang-Mills theory. https://arxiv.org/abs/2604.20377

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