Transmuting off-shell CHY integrals in the double-cover framework
High Energy Physics - Theory
2026-05-05 v1
Abstract
In this paper, by defining off-shell amplitudes as off-shell CHY integrals, and redefining the longitudinal operator, we demonstrate that the differential operators which link on-shell amplitudes for a variety of theories together, also link off-shell amplitudes in the similar manner. Based on the algebraic property of the differential operator, we also generalize three relations among color-ordered on-shell amplitudes, including the color-ordered reversed relation, the photon decoupling relation, the Kleiss-Kuijf relation, to off-shell ones. The off-shell CHY integrals are chosen to be in the double-cover framework, thus, as a by product, our result also provides a verification for the double-cover construction.
Cite
@article{arxiv.2006.12188,
title = {Transmuting off-shell CHY integrals in the double-cover framework},
author = {Kang Zhou and Guo-Jun Zhou},
journal= {arXiv preprint arXiv:2006.12188},
year = {2026}
}
Comments
29 pages