Recursive construction for expansions of tree Yang–Mills amplitudes from soft theorem
Abstract In this paper, we introduce a fundamentally different approach, based on a bottom-up methodology, for expanding tree-level Yang–Mills (YM) amplitudes into Yang–Mills-scalar (YMS) amplitudes and bi-adjoint-scalar (BAS) amplitudes. Our method relies solely on the intrinsic soft behavior of ex...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-12517-y |
| _version_ | 1797273440521027584 |
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| author | Chang Hu Kang Zhou |
| author_facet | Chang Hu Kang Zhou |
| author_sort | Chang Hu |
| collection | DOAJ |
| description | Abstract In this paper, we introduce a fundamentally different approach, based on a bottom-up methodology, for expanding tree-level Yang–Mills (YM) amplitudes into Yang–Mills-scalar (YMS) amplitudes and bi-adjoint-scalar (BAS) amplitudes. Our method relies solely on the intrinsic soft behavior of external gluons, eliminating the need for external aids such as Feynman rules or CHY rules. The recursive procedure consistently preserves explicit gauge invariance at every step, ultimately resulting in a manifest gauge-invariant outcome when the initial expression is already framed in a gauge-invariant manner. The resulting expansion can be directly analogized to the expansions of gravitational (GR) amplitudes using the double copy structure. When combined with the expansions of Einstein–Yang–Mills amplitudes obtained using the covariant color-kinematic duality method from existing literature, the expansions presented in this note yield gauge-invariant Bern–Carrasco–Johansson (BCJ) numerators. |
| first_indexed | 2024-03-07T14:44:19Z |
| format | Article |
| id | doaj.art-10249bf94ab946028863633098bd183a |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-07T14:44:19Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-10249bf94ab946028863633098bd183a2024-03-05T20:03:22ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-03-0184311510.1140/epjc/s10052-024-12517-yRecursive construction for expansions of tree Yang–Mills amplitudes from soft theoremChang Hu0Kang Zhou1School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCASCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract In this paper, we introduce a fundamentally different approach, based on a bottom-up methodology, for expanding tree-level Yang–Mills (YM) amplitudes into Yang–Mills-scalar (YMS) amplitudes and bi-adjoint-scalar (BAS) amplitudes. Our method relies solely on the intrinsic soft behavior of external gluons, eliminating the need for external aids such as Feynman rules or CHY rules. The recursive procedure consistently preserves explicit gauge invariance at every step, ultimately resulting in a manifest gauge-invariant outcome when the initial expression is already framed in a gauge-invariant manner. The resulting expansion can be directly analogized to the expansions of gravitational (GR) amplitudes using the double copy structure. When combined with the expansions of Einstein–Yang–Mills amplitudes obtained using the covariant color-kinematic duality method from existing literature, the expansions presented in this note yield gauge-invariant Bern–Carrasco–Johansson (BCJ) numerators.https://doi.org/10.1140/epjc/s10052-024-12517-y |
| spellingShingle | Chang Hu Kang Zhou Recursive construction for expansions of tree Yang–Mills amplitudes from soft theorem European Physical Journal C: Particles and Fields |
| title | Recursive construction for expansions of tree Yang–Mills amplitudes from soft theorem |
| title_full | Recursive construction for expansions of tree Yang–Mills amplitudes from soft theorem |
| title_fullStr | Recursive construction for expansions of tree Yang–Mills amplitudes from soft theorem |
| title_full_unstemmed | Recursive construction for expansions of tree Yang–Mills amplitudes from soft theorem |
| title_short | Recursive construction for expansions of tree Yang–Mills amplitudes from soft theorem |
| title_sort | recursive construction for expansions of tree yang mills amplitudes from soft theorem |
| url | https://doi.org/10.1140/epjc/s10052-024-12517-y |
| work_keys_str_mv | AT changhu recursiveconstructionforexpansionsoftreeyangmillsamplitudesfromsofttheorem AT kangzhou recursiveconstructionforexpansionsoftreeyangmillsamplitudesfromsofttheorem |