EFT of interacting spin-2 fields

Abstract We consider the effective field theory of multiple interacting massive spin-2 fields. We focus on the case where the interactions are chosen so that the cutoff is the highest possible, and highlight two distinct classes of theories. In the first class, the mass eigenstates only interact thr...

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Main Authors: Lasma Alberte, Claudia de Rham, Arshia Momeni, Justinas Rumbutis, Andrew J. Tolley
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)131
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author Lasma Alberte
Claudia de Rham
Arshia Momeni
Justinas Rumbutis
Andrew J. Tolley
author_facet Lasma Alberte
Claudia de Rham
Arshia Momeni
Justinas Rumbutis
Andrew J. Tolley
author_sort Lasma Alberte
collection DOAJ
description Abstract We consider the effective field theory of multiple interacting massive spin-2 fields. We focus on the case where the interactions are chosen so that the cutoff is the highest possible, and highlight two distinct classes of theories. In the first class, the mass eigenstates only interact through potential operators that carry no derivatives in unitary gauge at leading order. In the second class, a specific kinetic mixing between the mass eigenstates is included non-linearly. Performing a decoupling and ADM analysis, we point out the existence of a ghost present at a low scale for the first class of interactions. For the second class of interactions where kinetic mixing is included, we derive the full Λ3-decoupling limit and confirm the absence of any ghosts. Nevertheless both formulations can be used to consistently describe an EFT of interacting massive spin-2 fields which, for a suitable technically natural tuning of the EFT, have the same strong coupling scale Λ3. We identify the generic form of EFT corrections in each case. By using Galileon Duality transformations for the specific case of two massive spin-2 fields with suitable couplings, the decoupling limit theory is shown to be a bi-Galileon.
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spelling doaj-art-4a694f22af074325bb43123dca246e992025-01-26T12:11:23ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020115710.1007/JHEP01(2020)131EFT of interacting spin-2 fieldsLasma Alberte0Claudia de Rham1Arshia Momeni2Justinas Rumbutis3Andrew J. Tolley4Theoretical Physics, Blackett Laboratory, Imperial CollegeTheoretical Physics, Blackett Laboratory, Imperial CollegeTheoretical Physics, Blackett Laboratory, Imperial CollegeTheoretical Physics, Blackett Laboratory, Imperial CollegeTheoretical Physics, Blackett Laboratory, Imperial CollegeAbstract We consider the effective field theory of multiple interacting massive spin-2 fields. We focus on the case where the interactions are chosen so that the cutoff is the highest possible, and highlight two distinct classes of theories. In the first class, the mass eigenstates only interact through potential operators that carry no derivatives in unitary gauge at leading order. In the second class, a specific kinetic mixing between the mass eigenstates is included non-linearly. Performing a decoupling and ADM analysis, we point out the existence of a ghost present at a low scale for the first class of interactions. For the second class of interactions where kinetic mixing is included, we derive the full Λ3-decoupling limit and confirm the absence of any ghosts. Nevertheless both formulations can be used to consistently describe an EFT of interacting massive spin-2 fields which, for a suitable technically natural tuning of the EFT, have the same strong coupling scale Λ3. We identify the generic form of EFT corrections in each case. By using Galileon Duality transformations for the specific case of two massive spin-2 fields with suitable couplings, the decoupling limit theory is shown to be a bi-Galileon.https://doi.org/10.1007/JHEP01(2020)131Effective Field TheoriesHigher Spin Symmetry
spellingShingle Lasma Alberte
Claudia de Rham
Arshia Momeni
Justinas Rumbutis
Andrew J. Tolley
EFT of interacting spin-2 fields
Journal of High Energy Physics
Effective Field Theories
Higher Spin Symmetry
title EFT of interacting spin-2 fields
title_full EFT of interacting spin-2 fields
title_fullStr EFT of interacting spin-2 fields
title_full_unstemmed EFT of interacting spin-2 fields
title_short EFT of interacting spin-2 fields
title_sort eft of interacting spin 2 fields
topic Effective Field Theories
Higher Spin Symmetry
url https://doi.org/10.1007/JHEP01(2020)131
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AT claudiaderham eftofinteractingspin2fields
AT arshiamomeni eftofinteractingspin2fields
AT justinasrumbutis eftofinteractingspin2fields
AT andrewjtolley eftofinteractingspin2fields