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.
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Acknowledgments
We would like to thank Shamik Banerjee, Elizabeth Himwich, Yangrui Hu, Marcus Spradlin, Akshay Yelleshpur Srikant, and Anastasia Volovich for stimulating discussions. LR is supported by the US Department of Energy under contract DE-SC0010010 Task F. ASc is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 725110), Novel structures in scattering amplitudes. ASh is supported by a Black Hole Initiative fellowship, funded by the Gordon and Betty Moore Foundation and the John Templeton Foundation. DW is supported by NSF grant PHY2107939.
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Ren, L., Schreiber, A., Sharma, A. et al. All-order celestial OPE from on-shell recursion. J. High Energ. Phys. 2023, 80 (2023). https://doi.org/10.1007/JHEP10(2023)080
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DOI: https://doi.org/10.1007/JHEP10(2023)080