Abstract
We construct “soft-collinear gravity”, the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power expansion. Despite the absence of collinear divergences in gravity at leading power, the construction exhibits remarkable similarities with soft-collinear effective theory of QCD (gauge fields). It reveals an emergent soft background gauge symmetry, which allows for a manifestly gauge-invariant representation of the interactions in terms of a soft covariant derivative, the soft Riemann tensor, and a covariant generalisation of the collinear light-cone gauge metric field. The gauge symmetries control both the unsuppressed collinear field components and the inherent inhomogeneity in λ of the invariant objects to all orders, resulting in a consistent expansion.
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26 April 2024
An Erratum to this paper has been published: https://doi.org/10.1007/JHEP04(2024)141
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Beneke, M., Hager, P. & Szafron, R. Soft-collinear gravity beyond the leading power. J. High Energ. Phys. 2022, 80 (2022). https://doi.org/10.1007/JHEP03(2022)080
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DOI: https://doi.org/10.1007/JHEP03(2022)080