One-loop integrand from generalised scattering equations
Abstract Generalised bi-adjoint scalar amplitudes, obtained from integrations over moduli space of punctured ℂℙ k − 1, are novel extensions of the CHY formalism. These amplitudes have realisations in terms of Grassmannian cluster algebras. Recently connections between one-loop integrands for bi-adjo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2021)012 |
| _version_ | 1818451525256609792 |
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| author | Md. Abhishek Subramanya Hegde Arnab Priya Saha |
| author_facet | Md. Abhishek Subramanya Hegde Arnab Priya Saha |
| author_sort | Md. Abhishek |
| collection | DOAJ |
| description | Abstract Generalised bi-adjoint scalar amplitudes, obtained from integrations over moduli space of punctured ℂℙ k − 1, are novel extensions of the CHY formalism. These amplitudes have realisations in terms of Grassmannian cluster algebras. Recently connections between one-loop integrands for bi-adjoint cubic scalar theory and D n $$ {\mathcal{D}}_n $$ cluster polytope have been established. In this paper using the Gr (3, 6) cluster algebra, we relate the singularities of (3, 6) amplitude to four-point one-loop integrand in the bi-adjoint cubic scalar theory through the D 4 $$ {\mathcal{D}}_4 $$ cluster polytope. We also study factorisation properties of the (3, 6) amplitude at various boundaries in the worldsheet. |
| first_indexed | 2024-12-14T21:08:35Z |
| format | Article |
| id | doaj.art-8f28748db9c143baadcd2abf0d6facf1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T21:08:35Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8f28748db9c143baadcd2abf0d6facf12022-12-21T22:47:20ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021514210.1007/JHEP05(2021)012One-loop integrand from generalised scattering equationsMd. Abhishek0Subramanya Hegde1Arnab Priya Saha2Harish-Chandra Research Institute, Homi Bhaba National InstituteHarish-Chandra Research Institute, Homi Bhaba National InstituteHarish-Chandra Research Institute, Homi Bhaba National InstituteAbstract Generalised bi-adjoint scalar amplitudes, obtained from integrations over moduli space of punctured ℂℙ k − 1, are novel extensions of the CHY formalism. These amplitudes have realisations in terms of Grassmannian cluster algebras. Recently connections between one-loop integrands for bi-adjoint cubic scalar theory and D n $$ {\mathcal{D}}_n $$ cluster polytope have been established. In this paper using the Gr (3, 6) cluster algebra, we relate the singularities of (3, 6) amplitude to four-point one-loop integrand in the bi-adjoint cubic scalar theory through the D 4 $$ {\mathcal{D}}_4 $$ cluster polytope. We also study factorisation properties of the (3, 6) amplitude at various boundaries in the worldsheet.https://doi.org/10.1007/JHEP05(2021)012Scattering AmplitudesEffective Field Theories |
| spellingShingle | Md. Abhishek Subramanya Hegde Arnab Priya Saha One-loop integrand from generalised scattering equations Journal of High Energy Physics Scattering Amplitudes Effective Field Theories |
| title | One-loop integrand from generalised scattering equations |
| title_full | One-loop integrand from generalised scattering equations |
| title_fullStr | One-loop integrand from generalised scattering equations |
| title_full_unstemmed | One-loop integrand from generalised scattering equations |
| title_short | One-loop integrand from generalised scattering equations |
| title_sort | one loop integrand from generalised scattering equations |
| topic | Scattering Amplitudes Effective Field Theories |
| url | https://doi.org/10.1007/JHEP05(2021)012 |
| work_keys_str_mv | AT mdabhishek oneloopintegrandfromgeneralisedscatteringequations AT subramanyahegde oneloopintegrandfromgeneralisedscatteringequations AT arnabpriyasaha oneloopintegrandfromgeneralisedscatteringequations |