Log translation invariance of log soft gravitational radiation

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 logarithmic translations manifest. Invariance under log translation...

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Bibliographic Details
Authors: Boschetti, Gianni, Campiglia Curcho, Miguel
Format: article
Status:Published version
Publication Date:2025
Country:Uruguay
Institution:Universidad de la República
Repository:COLIBRI
Language:English
OAI Identifier:oai:colibri.udelar.edu.uy:20.500.12008/53865
Online Access:https://hdl.handle.net/20.500.12008/53865
Access Level:Open access
Keyword:Classical theories of gravity
Space-time symmetries
Scattering amplitudes
Gauge symmetry
Description
Summary: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 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.