One-loop Gluon Amplitudes in AdS
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866915099554349056 |
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| author | Alday, Luis F. Bissi, Agnese Zhou, Xinan |
| author_facet | Alday, Luis F. Bissi, Agnese Zhou, Xinan |
| contents | We initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form $AdS_{d+1} \times S^3$. For concreteness, we compute the one-loop correction to the massless gluon amplitude on $AdS_5\times S^3$, which corresponds to the four-point correlator of the flavor current multiplet in the dual 4d $\mathcal{N}=2$ SCFT. This requires solving a mixing problem that involves tree-level amplitudes of arbitrarily massive Kaluza-Klein modes. The final answer has the same color structure as in flat space but the dependence on Mandelstam variables is more complicated, with logarithms replaced by polygamma functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_09861 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | One-loop Gluon Amplitudes in AdS Alday, Luis F. Bissi, Agnese Zhou, Xinan High Energy Physics - Theory We initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form $AdS_{d+1} \times S^3$. For concreteness, we compute the one-loop correction to the massless gluon amplitude on $AdS_5\times S^3$, which corresponds to the four-point correlator of the flavor current multiplet in the dual 4d $\mathcal{N}=2$ SCFT. This requires solving a mixing problem that involves tree-level amplitudes of arbitrarily massive Kaluza-Klein modes. The final answer has the same color structure as in flat space but the dependence on Mandelstam variables is more complicated, with logarithms replaced by polygamma functions. |
| title | One-loop Gluon Amplitudes in AdS |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2110.09861 |