Massive celestial amplitudes and celestial amplitudes beyond four points
Abstract We compute scalar three-point celestial amplitudes involving two and three massive scalars. The three-point coefficient of celestial amplitudes with two massive scalars contains a hypergeometric function, and the one with three massive scalars can be represented as a triple Mellin-Barnes in...
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| Format: | Article |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)180 |
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| author | Reiko Liu Wen-Jie Ma |
| author_facet | Reiko Liu Wen-Jie Ma |
| author_sort | Reiko Liu |
| collection | DOAJ |
| description | Abstract We compute scalar three-point celestial amplitudes involving two and three massive scalars. The three-point coefficient of celestial amplitudes with two massive scalars contains a hypergeometric function, and the one with three massive scalars can be represented as a triple Mellin-Barnes integral. Using these three-point celestial amplitudes, we investigate the conformal block expansions of five- and six-point scalar celestial amplitudes in the comb channel. We observe the presence of two-particle operators in the conformal block expansion of five-point celestial amplitudes, which confirms the previous analysis by taking multi-collinear limit. Moreover, we find that there are new three-particle operators in the conformal block expansion of six-point celestial amplitudes. Based on these findings, we conjecture that exchanges of n-particle operators can be observed by considering the comb channel conformal block expansion of (n + 3)-point massless celestial amplitudes. Finally, we show that a new series of operators appears when turning on the mass of the first incoming particle. The leading operator in this series can be interpreted as a two-particle exchange in the OPE of one massive and one massless scalars. |
| format | Article |
| id | doaj-art-a4e21542f2c4436da53afdae9afa7859 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a4e21542f2c4436da53afdae9afa78592025-02-09T12:07:04ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113510.1007/JHEP01(2025)180Massive celestial amplitudes and celestial amplitudes beyond four pointsReiko Liu0Wen-Jie Ma1Yau Mathematical Sciences Center (YMSC), Tsinghua UniversityFudan Center for Mathematics and Interdisciplinary Study, Fudan UniversityAbstract We compute scalar three-point celestial amplitudes involving two and three massive scalars. The three-point coefficient of celestial amplitudes with two massive scalars contains a hypergeometric function, and the one with three massive scalars can be represented as a triple Mellin-Barnes integral. Using these three-point celestial amplitudes, we investigate the conformal block expansions of five- and six-point scalar celestial amplitudes in the comb channel. We observe the presence of two-particle operators in the conformal block expansion of five-point celestial amplitudes, which confirms the previous analysis by taking multi-collinear limit. Moreover, we find that there are new three-particle operators in the conformal block expansion of six-point celestial amplitudes. Based on these findings, we conjecture that exchanges of n-particle operators can be observed by considering the comb channel conformal block expansion of (n + 3)-point massless celestial amplitudes. Finally, we show that a new series of operators appears when turning on the mass of the first incoming particle. The leading operator in this series can be interpreted as a two-particle exchange in the OPE of one massive and one massless scalars.https://doi.org/10.1007/JHEP01(2025)180Conformal and W SymmetryScale and Conformal SymmetriesScattering Amplitudes |
| spellingShingle | Reiko Liu Wen-Jie Ma Massive celestial amplitudes and celestial amplitudes beyond four points Journal of High Energy Physics Conformal and W Symmetry Scale and Conformal Symmetries Scattering Amplitudes |
| title | Massive celestial amplitudes and celestial amplitudes beyond four points |
| title_full | Massive celestial amplitudes and celestial amplitudes beyond four points |
| title_fullStr | Massive celestial amplitudes and celestial amplitudes beyond four points |
| title_full_unstemmed | Massive celestial amplitudes and celestial amplitudes beyond four points |
| title_short | Massive celestial amplitudes and celestial amplitudes beyond four points |
| title_sort | massive celestial amplitudes and celestial amplitudes beyond four points |
| topic | Conformal and W Symmetry Scale and Conformal Symmetries Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2025)180 |
| work_keys_str_mv | AT reikoliu massivecelestialamplitudesandcelestialamplitudesbeyondfourpoints AT wenjiema massivecelestialamplitudesandcelestialamplitudesbeyondfourpoints |