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- Alday, Luis F., et al.
(author)
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One-loop gluon amplitudes in AdS
- 2022
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In: Journal of High Energy Physics (JHEP). - : Springer Nature. - 1126-6708 .- 1029-8479. ; :2
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Journal article (peer-reviewed)abstract
- 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) x S-3. For concreteness, we compute the one-loop correction to the massless gluon amplitude on AdS(5) x S-3, which corresponds to the four-point correlator of the flavor current multiplet in the dual 4d 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.
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