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arXiv · 2006.12188

Transmuting off-shell CHY integrals in the double-cover framework

Kang Zhou·Guo-Jun Zhou
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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.

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Kang Zhou, Guo-Jun Zhou. 2020-06-22. Transmuting off-shell CHY integrals in the double-cover framework. https://doi.org/10.1140/epjc%2Fs10052-020-08624-1

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