Transmuting off-shell CHY integrals in the double-cover framework
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866909010658066432 |
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| author | Zhou, Kang Zhou, Guo-Jun |
| author_facet | Zhou, Kang Zhou, Guo-Jun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_12188 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Transmuting off-shell CHY integrals in the double-cover framework Zhou, Kang Zhou, Guo-Jun High Energy Physics - Theory 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. |
| title | Transmuting off-shell CHY integrals in the double-cover framework |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2006.12188 |