Abstract
We propose and explore the Regge limit for correlation functions of five local primary operators in conformal field theories. After reviewing some features of Regge theory for flat-space scattering amplitudes, we analyze the analytic structure of conformal blocks both in position and Mellin space in the Regge limit and propose an extension of conformal Regge theory for five-point functions. As a byproduct of our analysis we also introduce a new basis of three-point correlation functions for operators with spin and the associated Euclidean conformal blocks.
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Acknowledgments
We would like to thank Antonio Antunes, Joao Caetano, Simon Caron-Huot, Miguel Correia, Petr Kravchuk, Joao Penedones, Pedro Ribeiro, David Simmons-Duffin, Pedro Vieira, Sasha Zhiboedov for discussions. V.G. was supported by Simons Foundation grants #488637 (Simons collaboration on the non-perturbative bootstrap) and Fundacao para a Ciencia e Tecnologia (FCT) under the grant CEECIND/03356/2022. JVB is funded by FCT with fellowship DFA/BD/5354/2020, co-funded by Norte Portugal Regional Operational Programme (NORTE 2020), under the PORTUGAL 2020 Partnership Agreement, through the European Social Fund (ESF).
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Costa, M.S., Gonçalves, V., Salgarkar, A. et al. Conformal multi-Regge theory. J. High Energ. Phys. 2023, 155 (2023). https://doi.org/10.1007/JHEP09(2023)155
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DOI: https://doi.org/10.1007/JHEP09(2023)155