Scalar field couplings to quadratic curvature and decay into gravitons

Abstract Any field, even if it lives in a completely hidden sector, interacts with the visible sector at least via the gravitational interaction. In this paper, we show that a scalar field in such a hidden sector generically couples to the quadratic curvature via dimension five operators, i.e., ϕR 2...

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Main Authors: Yohei Ema, Kyohei Mukaida, Kazunori Nakayama
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2022)087
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author Yohei Ema
Kyohei Mukaida
Kazunori Nakayama
author_facet Yohei Ema
Kyohei Mukaida
Kazunori Nakayama
author_sort Yohei Ema
collection DOAJ
description Abstract Any field, even if it lives in a completely hidden sector, interacts with the visible sector at least via the gravitational interaction. In this paper, we show that a scalar field in such a hidden sector generically couples to the quadratic curvature via dimension five operators, i.e., ϕR 2, ϕR μν R μν , ϕR μνρσ R μνρσ , ϕR μνρσ R ~ μνρσ $$ {\overset{\sim }{R}}^{\mu \nu \rho \sigma} $$ , because they can emerge if there exist particles heavier than it. We derive these scalar couplings to the quadratic curvature by integrating out heavy particles in a systematic manner. Such couplings are of phenomenological interest since some of them induce the scalar decay into the graviton pair. We point out that the decay of a scalar field can produce a substantial amount of the stochastic cosmic graviton background at high frequency since the suppression scale of these operators is given by the mass of heavy particles not by the Planck scale. The resultant graviton spectrum is computed in some concrete models.
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spelling doaj.art-1d0750b3f91b4d06b04f09e7e43013c62022-12-22T00:40:32ZengSpringerOpenJournal of High Energy Physics1029-84792022-05-012022512810.1007/JHEP05(2022)087Scalar field couplings to quadratic curvature and decay into gravitonsYohei Ema0Kyohei Mukaida1Kazunori Nakayama2William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of MinnesotaTheory Center, IPNS, KEKDepartment of Physics, Tohoku UniversityAbstract Any field, even if it lives in a completely hidden sector, interacts with the visible sector at least via the gravitational interaction. In this paper, we show that a scalar field in such a hidden sector generically couples to the quadratic curvature via dimension five operators, i.e., ϕR 2, ϕR μν R μν , ϕR μνρσ R μνρσ , ϕR μνρσ R ~ μνρσ $$ {\overset{\sim }{R}}^{\mu \nu \rho \sigma} $$ , because they can emerge if there exist particles heavier than it. We derive these scalar couplings to the quadratic curvature by integrating out heavy particles in a systematic manner. Such couplings are of phenomenological interest since some of them induce the scalar decay into the graviton pair. We point out that the decay of a scalar field can produce a substantial amount of the stochastic cosmic graviton background at high frequency since the suppression scale of these operators is given by the mass of heavy particles not by the Planck scale. The resultant graviton spectrum is computed in some concrete models.https://doi.org/10.1007/JHEP05(2022)087Cosmology of Theories BSMEarly Universe Particle Physics
spellingShingle Yohei Ema
Kyohei Mukaida
Kazunori Nakayama
Scalar field couplings to quadratic curvature and decay into gravitons
Journal of High Energy Physics
Cosmology of Theories BSM
Early Universe Particle Physics
title Scalar field couplings to quadratic curvature and decay into gravitons
title_full Scalar field couplings to quadratic curvature and decay into gravitons
title_fullStr Scalar field couplings to quadratic curvature and decay into gravitons
title_full_unstemmed Scalar field couplings to quadratic curvature and decay into gravitons
title_short Scalar field couplings to quadratic curvature and decay into gravitons
title_sort scalar field couplings to quadratic curvature and decay into gravitons
topic Cosmology of Theories BSM
Early Universe Particle Physics
url https://doi.org/10.1007/JHEP05(2022)087
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AT kyoheimukaida scalarfieldcouplingstoquadraticcurvatureanddecayintogravitons
AT kazunorinakayama scalarfieldcouplingstoquadraticcurvatureanddecayintogravitons