Analytic formulae for inflationary correlators with dynamical mass
Abstract Massive fields can imprint unique oscillatory features on primordial correlation functions or inflationary correlators, which is dubbed the cosmological collider signal. In this work, we analytically investigate the effects of a time-dependent mass of a scalar field on inflationary correlat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2024)073 |
| _version_ | 1797247537781932032 |
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| author | Shuntaro Aoki Toshifumi Noumi Fumiya Sano Masahide Yamaguchi |
| author_facet | Shuntaro Aoki Toshifumi Noumi Fumiya Sano Masahide Yamaguchi |
| author_sort | Shuntaro Aoki |
| collection | DOAJ |
| description | Abstract Massive fields can imprint unique oscillatory features on primordial correlation functions or inflationary correlators, which is dubbed the cosmological collider signal. In this work, we analytically investigate the effects of a time-dependent mass of a scalar field on inflationary correlators, extending previous numerical studies and implementing techniques developed in the cosmological bootstrap program. The time-dependent mass is in general induced by couplings to the slow-roll inflaton background, with particularly significant effects in the case of non-derivative couplings. By linearly approximating the time dependence, the mode function of the massive scalar is computed analytically, on which we derive analytic formulae for two-, three-, and four-point correlators with the tree-level exchange of the massive scalar. The obtained formulae are utilized to discuss the phenomenological impacts on the power spectrum and bispectrum, and it is found that the scaling behavior of the bispectrum in the squeezed configuration, i.e., the cosmological collider signal, is modified from a time-dependent Boltzmann suppression. By investigating the scaling behavior in detail, we are in principle able to determine the non-derivative couplings between the inflaton and the massive particle. |
| first_indexed | 2024-04-24T20:00:16Z |
| format | Article |
| id | doaj.art-5a9796d76efc4d2185ab3471f90a0d39 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T20:00:16Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5a9796d76efc4d2185ab3471f90a0d392024-03-24T12:08:42ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024313710.1007/JHEP03(2024)073Analytic formulae for inflationary correlators with dynamical massShuntaro Aoki0Toshifumi Noumi1Fumiya Sano2Masahide Yamaguchi3Particle Theory and Cosmology Group, Center for Theoretical Physics of the Universe, Institute for Basic ScienceGraduate School of Arts and Sciences, The University of TokyoDepartment of Physics, Tokyo Institute of TechnologyCosmology, Gravity and Astroparticle Physics Group, Center for Theoretical Physics of the Universe, Institute for Basic ScienceAbstract Massive fields can imprint unique oscillatory features on primordial correlation functions or inflationary correlators, which is dubbed the cosmological collider signal. In this work, we analytically investigate the effects of a time-dependent mass of a scalar field on inflationary correlators, extending previous numerical studies and implementing techniques developed in the cosmological bootstrap program. The time-dependent mass is in general induced by couplings to the slow-roll inflaton background, with particularly significant effects in the case of non-derivative couplings. By linearly approximating the time dependence, the mode function of the massive scalar is computed analytically, on which we derive analytic formulae for two-, three-, and four-point correlators with the tree-level exchange of the massive scalar. The obtained formulae are utilized to discuss the phenomenological impacts on the power spectrum and bispectrum, and it is found that the scaling behavior of the bispectrum in the squeezed configuration, i.e., the cosmological collider signal, is modified from a time-dependent Boltzmann suppression. By investigating the scaling behavior in detail, we are in principle able to determine the non-derivative couplings between the inflaton and the massive particle.https://doi.org/10.1007/JHEP03(2024)073Early Universe Particle Physicsde Sitter spaceCosmological models |
| spellingShingle | Shuntaro Aoki Toshifumi Noumi Fumiya Sano Masahide Yamaguchi Analytic formulae for inflationary correlators with dynamical mass Journal of High Energy Physics Early Universe Particle Physics de Sitter space Cosmological models |
| title | Analytic formulae for inflationary correlators with dynamical mass |
| title_full | Analytic formulae for inflationary correlators with dynamical mass |
| title_fullStr | Analytic formulae for inflationary correlators with dynamical mass |
| title_full_unstemmed | Analytic formulae for inflationary correlators with dynamical mass |
| title_short | Analytic formulae for inflationary correlators with dynamical mass |
| title_sort | analytic formulae for inflationary correlators with dynamical mass |
| topic | Early Universe Particle Physics de Sitter space Cosmological models |
| url | https://doi.org/10.1007/JHEP03(2024)073 |
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