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arXiv · 2508.17919

Log translation invariance of log soft gravitational radiation

Gianni Boschetti·Miguel Campiglia
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Abstract

The gravitational radiation emitted during a classical scattering process is known to exhibit two universal logarithmic terms in its soft frequency expansion. We show that these terms can be written in a way that makes the action of \emph{logarithmic translations} manifest. Invariance under log translations naturally explains a puzzling cancellation in the contribution from outgoing massless particles and leads to a recurrence relation for expected higher-order universal log soft terms.

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Gianni Boschetti, Miguel Campiglia. 2025-08-25. Log translation invariance of log soft gravitational radiation. https://arxiv.org/abs/2508.17919

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