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arXiv · 1910.04356

Poincaré Constraints on Celestial Amplitudes

Y. T. Albert Law·Michael Zlotnikov
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Abstract

The functional structure of celestial amplitudes as constrained by Poincaré symmetry is investigated in $2,3,$ and $4$-point cases for massless external particles of various spin, as well as massive external scalars. Functional constraints and recurrence relations are found (akin to the findings in arXiv:1901.01622) that must be obeyed by the respective permissible correlator structures and function coefficients. In specific three-point cases involving massive scalars the resulting recurrence relations can be solved, e.g. reproducing purely from symmetry a three-point function coefficient known in the literature. Additionally, as a byproduct of the analysis, the three-point function coefficient for gluons in Minkowski signature is obtained from an amplitude map to the celestial sphere.

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Y. T. Albert Law, Michael Zlotnikov. 2020-04-08. Poincaré Constraints on Celestial Amplitudes. https://doi.org/10.1007/jhep03(2020)085

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