Matching and positivity beyond minimal coupling in effective theories of photons and gravitons

Abstract We study the low-energy effective theories of photons and gravitons, matching them at one loop to a UV completion with a massive spinning matter particle. The matter is allowed to have non-minimal electromagnetic and gravitational interactions. We construct the one-loop 4-photon and 4-gravi...

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Main Authors: Edoardo Alviani, Adam Falkowski
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13879-7
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author Edoardo Alviani
Adam Falkowski
author_facet Edoardo Alviani
Adam Falkowski
author_sort Edoardo Alviani
collection DOAJ
description Abstract We study the low-energy effective theories of photons and gravitons, matching them at one loop to a UV completion with a massive spinning matter particle. The matter is allowed to have non-minimal electromagnetic and gravitational interactions. We construct the one-loop 4-photon and 4-graviton helicity amplitudes with matter in the loop carrying anomalous multipole moments, and we read off the Wilson coefficients in the effective theory below the matter particle mass. Much as in the case of minimal coupling, the Wilson coefficients beyond the leading order turn out to be confined to small islands in the much larger theory space allowed by existing positivity constraints.
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institution Kabale University
issn 1434-6052
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series European Physical Journal C: Particles and Fields
spelling doaj-art-54a0902281d64d1d95327d3ff39ebebc2025-02-09T12:51:45ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-02-0185212210.1140/epjc/s10052-025-13879-7Matching and positivity beyond minimal coupling in effective theories of photons and gravitonsEdoardo Alviani0Adam Falkowski1Université Paris-Saclay, CNRS/IN2P3, IJCLabUniversité Paris-Saclay, CNRS/IN2P3, IJCLabAbstract We study the low-energy effective theories of photons and gravitons, matching them at one loop to a UV completion with a massive spinning matter particle. The matter is allowed to have non-minimal electromagnetic and gravitational interactions. We construct the one-loop 4-photon and 4-graviton helicity amplitudes with matter in the loop carrying anomalous multipole moments, and we read off the Wilson coefficients in the effective theory below the matter particle mass. Much as in the case of minimal coupling, the Wilson coefficients beyond the leading order turn out to be confined to small islands in the much larger theory space allowed by existing positivity constraints.https://doi.org/10.1140/epjc/s10052-025-13879-7
spellingShingle Edoardo Alviani
Adam Falkowski
Matching and positivity beyond minimal coupling in effective theories of photons and gravitons
European Physical Journal C: Particles and Fields
title Matching and positivity beyond minimal coupling in effective theories of photons and gravitons
title_full Matching and positivity beyond minimal coupling in effective theories of photons and gravitons
title_fullStr Matching and positivity beyond minimal coupling in effective theories of photons and gravitons
title_full_unstemmed Matching and positivity beyond minimal coupling in effective theories of photons and gravitons
title_short Matching and positivity beyond minimal coupling in effective theories of photons and gravitons
title_sort matching and positivity beyond minimal coupling in effective theories of photons and gravitons
url https://doi.org/10.1140/epjc/s10052-025-13879-7
work_keys_str_mv AT edoardoalviani matchingandpositivitybeyondminimalcouplingineffectivetheoriesofphotonsandgravitons
AT adamfalkowski matchingandpositivitybeyondminimalcouplingineffectivetheoriesofphotonsandgravitons