Abstract
We examine the BCFW recursion relations for celestial amplitudes and how they inform the celestial bootstrap program. We start by recasting the celestial incarnation of the BCFW shift as a generalization of the action of familiar asymptotic symmetries on hard particles, before focusing on two limits: z → ∞ and z → 0. We then discuss how the celestial CFT data encodes the large-z behavior determining which shifts are allowed, while the infinitesimal limit is tied to the celestial bootstrap program via the BG equations that constrain the MHV sector. The extension to super-BCFW is also presented. We close by remarking on several open questions for future study.
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Hu, Y., Pasterski, S. Celestial recursion. J. High Energ. Phys. 2023, 151 (2023). https://doi.org/10.1007/JHEP01(2023)151
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DOI: https://doi.org/10.1007/JHEP01(2023)151