Gleaning gravitational amplitudes -- a double copy for canceling dilatons

Fuente: arXiv
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Autori principali: Johansson, Henrik, Vazquez-Holm, Ingrid
Natura: Preprint
Pubblicazione: 2025
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author Johansson, Henrik
Vazquez-Holm, Ingrid
author_facet Johansson, Henrik
Vazquez-Holm, Ingrid
contents Scattering amplitudes in general relativity can be conveniently computed using the double copy, which relates them to Yang-Mills amplitudes. However, unwanted dilatons are sourced by massive scalar matter, which must be removed from the double copy in order to match the long range gravitational interactions. In this paper, we study how to automatically cancel out the dilatons by finding a suitable double-copy prescription in terms of gauge-theory fields, effectively treating the new contributions as ghosts that subtract out the unwanted states. At tree level, we find that an asymmetric double copy can reproduce the dilaton graphs in general dimension, which we explicitly verify up to six external massive scalars. Considering a one-loop four-point example, the same asymmetric double copy needs to be supplemented by the subtraction of bubble graphs that originate both from the axion and a residual dilaton term.
format Preprint
id arxiv_https___arxiv_org_abs_2501_17818
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gleaning gravitational amplitudes -- a double copy for canceling dilatons
Johansson, Henrik
Vazquez-Holm, Ingrid
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Scattering amplitudes in general relativity can be conveniently computed using the double copy, which relates them to Yang-Mills amplitudes. However, unwanted dilatons are sourced by massive scalar matter, which must be removed from the double copy in order to match the long range gravitational interactions. In this paper, we study how to automatically cancel out the dilatons by finding a suitable double-copy prescription in terms of gauge-theory fields, effectively treating the new contributions as ghosts that subtract out the unwanted states. At tree level, we find that an asymmetric double copy can reproduce the dilaton graphs in general dimension, which we explicitly verify up to six external massive scalars. Considering a one-loop four-point example, the same asymmetric double copy needs to be supplemented by the subtraction of bubble graphs that originate both from the axion and a residual dilaton term.
title Gleaning gravitational amplitudes -- a double copy for canceling dilatons
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2501.17818