Cosmological correlators with double massive exchanges: bootstrap equation and phenomenology

Abstract Using the recently developed cosmological bootstrap method, we compute the exact analytical solution for the seed integral appearing in cosmological correlators with double massive scalar exchanges. The result is explicit, valid in any kinematic configuration, and free from spurious diverge...

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Main Authors: Shuntaro Aoki, Lucas Pinol, Fumiya Sano, Masahide Yamaguchi, Yuhang Zhu
Format: Article
Language:English
Published: SpringerOpen 2024-09-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP09(2024)176
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author Shuntaro Aoki
Lucas Pinol
Fumiya Sano
Masahide Yamaguchi
Yuhang Zhu
author_facet Shuntaro Aoki
Lucas Pinol
Fumiya Sano
Masahide Yamaguchi
Yuhang Zhu
author_sort Shuntaro Aoki
collection DOAJ
description Abstract Using the recently developed cosmological bootstrap method, we compute the exact analytical solution for the seed integral appearing in cosmological correlators with double massive scalar exchanges. The result is explicit, valid in any kinematic configuration, and free from spurious divergences. It is applicable to any number of fields’ species with any masses. With an appropriate choice of variables, the results contain only single-layer summations. We also propose simple approximate formulas valid in different limits, enabling direct and instantaneous evaluation. Supported by exact numerical results using CosmoFlow, we explore the phenomenology of double massive exchange diagrams. Contrary to single-exchange diagrams with ubiquitous Lorentz-covariant interactions, the size of the cubic coupling constant can be large while respecting perturbativity bounds. Because of this property, the primordial bispectrum from double-exchange diagrams can be as large as, coincidentally, current observational constraints. In addition to being sizable on equilateral configurations, we show that the primordial bispectrum exhibits a large cosmological collider signal in the squeezed limit, making the double massive exchanges interesting channels for the detection of massive primordial fields. We propose to decisively disentangle double-exchange channels from single-exchange ones with cosmological observations by exploiting the phase information of the cosmological collider signal, the inflationary flavor oscillations from multiple fields’ species exchanges and the double soft limit in the primordial trispectrum.
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spelling doaj-art-c0450eb7ce4349c093ef5ebd1d88defe2025-08-20T02:20:42ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024916910.1007/JHEP09(2024)176Cosmological correlators with double massive exchanges: bootstrap equation and phenomenologyShuntaro Aoki0Lucas Pinol1Fumiya Sano2Masahide Yamaguchi3Yuhang Zhu4Particle Theory and Cosmology Group, Center for Theoretical Physics of the Universe, Institute for Basic ScienceLaboratoire de Physique de l’École Normale Supérieure, ENS, CNRS, Université PSL, Sorbonne Université, Université Paris CitéDepartment of Physics, Tokyo Institute of TechnologyCosmology, Gravity and Astroparticle Physics Group, Center for Theoretical Physics of the Universe, Institute for Basic ScienceCosmology, Gravity and Astroparticle Physics Group, Center for Theoretical Physics of the Universe, Institute for Basic ScienceAbstract Using the recently developed cosmological bootstrap method, we compute the exact analytical solution for the seed integral appearing in cosmological correlators with double massive scalar exchanges. The result is explicit, valid in any kinematic configuration, and free from spurious divergences. It is applicable to any number of fields’ species with any masses. With an appropriate choice of variables, the results contain only single-layer summations. We also propose simple approximate formulas valid in different limits, enabling direct and instantaneous evaluation. Supported by exact numerical results using CosmoFlow, we explore the phenomenology of double massive exchange diagrams. Contrary to single-exchange diagrams with ubiquitous Lorentz-covariant interactions, the size of the cubic coupling constant can be large while respecting perturbativity bounds. Because of this property, the primordial bispectrum from double-exchange diagrams can be as large as, coincidentally, current observational constraints. In addition to being sizable on equilateral configurations, we show that the primordial bispectrum exhibits a large cosmological collider signal in the squeezed limit, making the double massive exchanges interesting channels for the detection of massive primordial fields. We propose to decisively disentangle double-exchange channels from single-exchange ones with cosmological observations by exploiting the phase information of the cosmological collider signal, the inflationary flavor oscillations from multiple fields’ species exchanges and the double soft limit in the primordial trispectrum.https://doi.org/10.1007/JHEP09(2024)176de Sitter spaceSpace-Time SymmetriesEarly Universe Particle Physics
spellingShingle Shuntaro Aoki
Lucas Pinol
Fumiya Sano
Masahide Yamaguchi
Yuhang Zhu
Cosmological correlators with double massive exchanges: bootstrap equation and phenomenology
Journal of High Energy Physics
de Sitter space
Space-Time Symmetries
Early Universe Particle Physics
title Cosmological correlators with double massive exchanges: bootstrap equation and phenomenology
title_full Cosmological correlators with double massive exchanges: bootstrap equation and phenomenology
title_fullStr Cosmological correlators with double massive exchanges: bootstrap equation and phenomenology
title_full_unstemmed Cosmological correlators with double massive exchanges: bootstrap equation and phenomenology
title_short Cosmological correlators with double massive exchanges: bootstrap equation and phenomenology
title_sort cosmological correlators with double massive exchanges bootstrap equation and phenomenology
topic de Sitter space
Space-Time Symmetries
Early Universe Particle Physics
url https://doi.org/10.1007/JHEP09(2024)176
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AT fumiyasano cosmologicalcorrelatorswithdoublemassiveexchangesbootstrapequationandphenomenology
AT masahideyamaguchi cosmologicalcorrelatorswithdoublemassiveexchangesbootstrapequationandphenomenology
AT yuhangzhu cosmologicalcorrelatorswithdoublemassiveexchangesbootstrapequationandphenomenology