Constructing EYM amplitudes by inverse soft limit
Abstract It is well known that gravity amplitudes in four dimensions can be reconstructed by the inverse soft limit (ISL) method. According to ISL, a tree level n-graviton maximally-helicity-violating (MHV) amplitude is expressed in terms of deformed (n − 1)-graviton amplitudes accompanied by soft g...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-05-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2023)196 |
| _version_ | 1797736486787874816 |
|---|---|
| author | Shiquan Ma Rongyu Dong Yi-Jian Du |
| author_facet | Shiquan Ma Rongyu Dong Yi-Jian Du |
| author_sort | Shiquan Ma |
| collection | DOAJ |
| description | Abstract It is well known that gravity amplitudes in four dimensions can be reconstructed by the inverse soft limit (ISL) method. According to ISL, a tree level n-graviton maximally-helicity-violating (MHV) amplitude is expressed in terms of deformed (n − 1)-graviton amplitudes accompanied by soft graviton factors. On another hand, single- and double-trace tree-level Einstein-Yang-Mills (EYM) MHV amplitudes have been proven to satisfy spanning forest formulas, where each edge in a forest has the same form with a term in soft graviton factor. It is not transparent that the formulas satisfied by EYM amplitudes can be constructed with ISL. In this paper, we construct the single- and double-trace MHV amplitudes in EYM, by the ISL and show that the known formulas can be precisely reproduced. Interesting identities which are based on Schouten identity and characterized by graphs are also introduced. |
| first_indexed | 2024-03-12T13:14:36Z |
| format | Article |
| id | doaj.art-7b6d549b84d3403d8a305428f02ce24c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T13:14:36Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7b6d549b84d3403d8a305428f02ce24c2023-08-27T11:05:12ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023512810.1007/JHEP05(2023)196Constructing EYM amplitudes by inverse soft limitShiquan Ma0Rongyu Dong1Yi-Jian Du2School of Physics and Technology, Wuhan UniversitySchool of Physics and Technology, Wuhan UniversitySchool of Physics and Technology, Wuhan UniversityAbstract It is well known that gravity amplitudes in four dimensions can be reconstructed by the inverse soft limit (ISL) method. According to ISL, a tree level n-graviton maximally-helicity-violating (MHV) amplitude is expressed in terms of deformed (n − 1)-graviton amplitudes accompanied by soft graviton factors. On another hand, single- and double-trace tree-level Einstein-Yang-Mills (EYM) MHV amplitudes have been proven to satisfy spanning forest formulas, where each edge in a forest has the same form with a term in soft graviton factor. It is not transparent that the formulas satisfied by EYM amplitudes can be constructed with ISL. In this paper, we construct the single- and double-trace MHV amplitudes in EYM, by the ISL and show that the known formulas can be precisely reproduced. Interesting identities which are based on Schouten identity and characterized by graphs are also introduced.https://doi.org/10.1007/JHEP05(2023)196Scattering AmplitudesGauge Symmetry |
| spellingShingle | Shiquan Ma Rongyu Dong Yi-Jian Du Constructing EYM amplitudes by inverse soft limit Journal of High Energy Physics Scattering Amplitudes Gauge Symmetry |
| title | Constructing EYM amplitudes by inverse soft limit |
| title_full | Constructing EYM amplitudes by inverse soft limit |
| title_fullStr | Constructing EYM amplitudes by inverse soft limit |
| title_full_unstemmed | Constructing EYM amplitudes by inverse soft limit |
| title_short | Constructing EYM amplitudes by inverse soft limit |
| title_sort | constructing eym amplitudes by inverse soft limit |
| topic | Scattering Amplitudes Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP05(2023)196 |
| work_keys_str_mv | AT shiquanma constructingeymamplitudesbyinversesoftlimit AT rongyudong constructingeymamplitudesbyinversesoftlimit AT yijiandu constructingeymamplitudesbyinversesoftlimit |