Celestial open strings at one-loop
Abstract We study celestial amplitudes in string theory at one-loop. Celestial amplitudes describe scattering processes of boost eigenstates and relate to amplitudes in the more standard basis of momentum eigenstates through a Mellin transform. They are thus sensitive to both the ultraviolet and the...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-10-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2023)047 |
| _version_ | 1827370507912085504 |
|---|---|
| author | Laura Donnay Gaston Giribet Hernán González Andrea Puhm Francisco Rojas |
| author_facet | Laura Donnay Gaston Giribet Hernán González Andrea Puhm Francisco Rojas |
| author_sort | Laura Donnay |
| collection | DOAJ |
| description | Abstract We study celestial amplitudes in string theory at one-loop. Celestial amplitudes describe scattering processes of boost eigenstates and relate to amplitudes in the more standard basis of momentum eigenstates through a Mellin transform. They are thus sensitive to both the ultraviolet and the infrared, which raises the question of how to appropriately take the field theory limit of string amplitudes in the celestial basis. We address this problem in the context of four-dimensional genus-one scattering processes of gluons in open string theory which reach the two-dimensional celestial sphere at null infinity. We show that the Mellin transform commutes with the adequate limit in the worldsheet moduli space and reproduces the celestial one-loop field theory amplitude expressed in the worldline formalism. The dependence on α ′ continues to be a simple overall factor in one-loop celestial amplitudes albeit with a power that is shifted with respect to tree-level, thus making manifest that the dimensionless parameter g 10 2 / α ′ 3 $$ {g}_{10}^2/{\alpha}^{\prime 3} $$ organizes the loop expansion in the celestial basis. The precise way in which the amplitudes scale with this parameter depends on the number of non-compact dimensions in such a way that in 4 dimensions the scaling with α ′ does agree with that at tree-level. |
| first_indexed | 2024-03-08T10:17:30Z |
| format | Article |
| id | doaj.art-24b4d1e343ff4cac8a67b0a517bc58d4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:17:30Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-24b4d1e343ff4cac8a67b0a517bc58d42024-01-28T12:22:35ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231012010.1007/JHEP10(2023)047Celestial open strings at one-loopLaura Donnay0Gaston Giribet1Hernán González2Andrea Puhm3Francisco Rojas4International School for Advanced Studies (SISSA)Department of Physics, New York UniversityFacultad de Artes Liberales, Universidad Adolfo IbáñezCPHT, CNRS, Ecole Polytechnique, IP ParisFacultad de Ingeniería y Ciencias, Universidad Adolfo IbáñezAbstract We study celestial amplitudes in string theory at one-loop. Celestial amplitudes describe scattering processes of boost eigenstates and relate to amplitudes in the more standard basis of momentum eigenstates through a Mellin transform. They are thus sensitive to both the ultraviolet and the infrared, which raises the question of how to appropriately take the field theory limit of string amplitudes in the celestial basis. We address this problem in the context of four-dimensional genus-one scattering processes of gluons in open string theory which reach the two-dimensional celestial sphere at null infinity. We show that the Mellin transform commutes with the adequate limit in the worldsheet moduli space and reproduces the celestial one-loop field theory amplitude expressed in the worldline formalism. The dependence on α ′ continues to be a simple overall factor in one-loop celestial amplitudes albeit with a power that is shifted with respect to tree-level, thus making manifest that the dimensionless parameter g 10 2 / α ′ 3 $$ {g}_{10}^2/{\alpha}^{\prime 3} $$ organizes the loop expansion in the celestial basis. The precise way in which the amplitudes scale with this parameter depends on the number of non-compact dimensions in such a way that in 4 dimensions the scaling with α ′ does agree with that at tree-level.https://doi.org/10.1007/JHEP10(2023)047Scattering AmplitudesSuperstrings and Heterotic StringsConformal and W Symmetry |
| spellingShingle | Laura Donnay Gaston Giribet Hernán González Andrea Puhm Francisco Rojas Celestial open strings at one-loop Journal of High Energy Physics Scattering Amplitudes Superstrings and Heterotic Strings Conformal and W Symmetry |
| title | Celestial open strings at one-loop |
| title_full | Celestial open strings at one-loop |
| title_fullStr | Celestial open strings at one-loop |
| title_full_unstemmed | Celestial open strings at one-loop |
| title_short | Celestial open strings at one-loop |
| title_sort | celestial open strings at one loop |
| topic | Scattering Amplitudes Superstrings and Heterotic Strings Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP10(2023)047 |
| work_keys_str_mv | AT lauradonnay celestialopenstringsatoneloop AT gastongiribet celestialopenstringsatoneloop AT hernangonzalez celestialopenstringsatoneloop AT andreapuhm celestialopenstringsatoneloop AT franciscorojas celestialopenstringsatoneloop |