All-order celestial OPE from on-shell recursion

Ren, Lecheng; Schreiber, Anders; Sharma, Atul; Wang, Diandian

doi:10.1007/JHEP10(2023)080

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All-order celestial OPE from on-shell recursion

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Ren, Lecheng
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Schreiber, Anders
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Sharma, Atul
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Wang, Diandian
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Citation

Ren, L., Schreiber, A., Sharma, A., & Wang, D. (2023). All-order celestial OPE from on-shell recursion. Journal of High Energy Physics, 10, 080. doi:10.1007/JHEP10(2023)080.

Cite as: https://hdl.handle.net/21.11116/0000-000F-126C-4

Abstract

We determine tree level, all-order celestial operator product expansions (OPEs) of gluons and gravitons in the maximally helicity violating (MHV) sector. We start by obtaining the all-order collinear expansions of MHV amplitudes using the inverse soft recursion relations that they satisfy. These collinear expansions are recast as celestial OPE expansions in bases of momentum as well as boost eigenstates. This shows that inverse soft recursion for MHV amplitudes is dual to OPE recursion in celestial conformal field theory.