All-order celestial OPE in the MHV sector
Abstract On-shell kinematics for gluon scattering can be parametrized with points on the celestial sphere; in the limit where these points collide, it is known that tree-level gluon scattering amplitudes exhibit an operator product expansion (OPE)-like structure. While it is possible to obtain singu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)252 |
| _version_ | 1797795915220647936 |
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| author | Tim Adamo Wei Bu Eduardo Casali Atul Sharma |
| author_facet | Tim Adamo Wei Bu Eduardo Casali Atul Sharma |
| author_sort | Tim Adamo |
| collection | DOAJ |
| description | Abstract On-shell kinematics for gluon scattering can be parametrized with points on the celestial sphere; in the limit where these points collide, it is known that tree-level gluon scattering amplitudes exhibit an operator product expansion (OPE)-like structure. While it is possible to obtain singular contributions to this celestial OPE, getting regular contributions from both holomorphic and anti-holomorphic sectors is more difficult. In this paper, we use twistor string theory to describe the maximal helicity violating (MHV) sector of tree-level, four-dimensional gluon scattering as an effective 2d conformal field theory on the celestial sphere. By organizing the OPE between vertex operators in this theory in terms of soft gluon descendants, we obtain all-order expressions for the celestial OPE which include all regular contributions in the collinear expansion. This gives new, all-order formulae for the collinear splitting function (in momentum space) and celestial OPE coefficients (in the conformal primary basis) of tree-level MHV gluon scattering. We obtain these results for both positive and negative helicity gluons, and for any incoming/outgoing kinematic configuration within the MHV sector. |
| first_indexed | 2024-03-13T03:25:14Z |
| format | Article |
| id | doaj.art-6fb7a1ac700b4b55b0998397cd2a1899 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:14Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6fb7a1ac700b4b55b0998397cd2a18992023-06-25T11:05:48ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023312310.1007/JHEP03(2023)252All-order celestial OPE in the MHV sectorTim Adamo0Wei Bu1Eduardo Casali2Atul Sharma3School of Mathematics and Maxwell Institute for Mathematical Sciences, University of EdinburghSchool of Mathematics and Maxwell Institute for Mathematical Sciences, University of EdinburghCenter for the Fundamental Laws of Nature, Harvard UniversityCenter for the Fundamental Laws of Nature, Harvard UniversityAbstract On-shell kinematics for gluon scattering can be parametrized with points on the celestial sphere; in the limit where these points collide, it is known that tree-level gluon scattering amplitudes exhibit an operator product expansion (OPE)-like structure. While it is possible to obtain singular contributions to this celestial OPE, getting regular contributions from both holomorphic and anti-holomorphic sectors is more difficult. In this paper, we use twistor string theory to describe the maximal helicity violating (MHV) sector of tree-level, four-dimensional gluon scattering as an effective 2d conformal field theory on the celestial sphere. By organizing the OPE between vertex operators in this theory in terms of soft gluon descendants, we obtain all-order expressions for the celestial OPE which include all regular contributions in the collinear expansion. This gives new, all-order formulae for the collinear splitting function (in momentum space) and celestial OPE coefficients (in the conformal primary basis) of tree-level MHV gluon scattering. We obtain these results for both positive and negative helicity gluons, and for any incoming/outgoing kinematic configuration within the MHV sector.https://doi.org/10.1007/JHEP03(2023)252Conformal and W SymmetryScattering AmplitudesTopological Strings |
| spellingShingle | Tim Adamo Wei Bu Eduardo Casali Atul Sharma All-order celestial OPE in the MHV sector Journal of High Energy Physics Conformal and W Symmetry Scattering Amplitudes Topological Strings |
| title | All-order celestial OPE in the MHV sector |
| title_full | All-order celestial OPE in the MHV sector |
| title_fullStr | All-order celestial OPE in the MHV sector |
| title_full_unstemmed | All-order celestial OPE in the MHV sector |
| title_short | All-order celestial OPE in the MHV sector |
| title_sort | all order celestial ope in the mhv sector |
| topic | Conformal and W Symmetry Scattering Amplitudes Topological Strings |
| url | https://doi.org/10.1007/JHEP03(2023)252 |
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