Kinematic Hopf algebra and BCJ numerators at finite $α'$
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916150494887936 |
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| author | Chen, Gang Rodina, Laurentiu Wen, Congkao |
| author_facet | Chen, Gang Rodina, Laurentiu Wen, Congkao |
| contents | In this letter, starting from a kinematic Hopf algebra, we first construct a closed-form formula for all Bern-Carrasco-Johansson (BCJ) numerators in Yang-Mills (YM) theory with infinite orders of $α'$ corrections, known as $\rm DF^2+YM$ theory, when coupled to two heavy particles which can be removed through a simple factorization limit. The full $α'$ dependence appears simply in massive physical propagator factors, with factorization strongly constraining the construction. The intricate structure induced by the massive poles also naturally leads us to find a novel closed-form and local expression for BCJ numerators in usual pure YM theory, based directly on the kinematic Hopf algebra. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_04614 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kinematic Hopf algebra and BCJ numerators at finite $α'$ Chen, Gang Rodina, Laurentiu Wen, Congkao High Energy Physics - Theory In this letter, starting from a kinematic Hopf algebra, we first construct a closed-form formula for all Bern-Carrasco-Johansson (BCJ) numerators in Yang-Mills (YM) theory with infinite orders of $α'$ corrections, known as $\rm DF^2+YM$ theory, when coupled to two heavy particles which can be removed through a simple factorization limit. The full $α'$ dependence appears simply in massive physical propagator factors, with factorization strongly constraining the construction. The intricate structure induced by the massive poles also naturally leads us to find a novel closed-form and local expression for BCJ numerators in usual pure YM theory, based directly on the kinematic Hopf algebra. |
| title | Kinematic Hopf algebra and BCJ numerators at finite $α'$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.04614 |