Generalising axion-like particle as the curvaton: sourcing primordial density perturbation and non-Gaussianities

Abstract We investigate the non-perturbatively generated axion-like particle (ALP) potential, involving fermions in the dark sector that couple to the ALP, in an early universe cosmological inflationary stage with the ALP being a spectator field. The potential here deviates from the standard cosine...

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Main Authors: Anish Ghoshal, Abhishek Naskar
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13330-3
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author Anish Ghoshal
Abhishek Naskar
author_facet Anish Ghoshal
Abhishek Naskar
author_sort Anish Ghoshal
collection DOAJ
description Abstract We investigate the non-perturbatively generated axion-like particle (ALP) potential, involving fermions in the dark sector that couple to the ALP, in an early universe cosmological inflationary stage with the ALP being a spectator field. The potential here deviates from the standard cosine nature due to the presence of the two dark sector fermion masses $$m_u$$ m u and $$m_d$$ m d which couple to the ALP. The ALP is a spectator field during inflation but it starts to oscillate and dominates the energy density of the universe after inflation ends, thereby sourcing isocurvature perturbations, while standard curvature fluctuations from the inflaton are assumed to be sub-dominant. Subsequently the ALP decays converting the isocurvature perturbations to adiabatic perturbations thereby acting as the origin of the primordial density perturbations. We identify the parameter space involving the axion decay constant $$f_{\phi }$$ f ϕ , scale of confinement $$\Lambda $$ Λ , ALP mass m and the masses of the fermions, $$m_u$$ m u and $$m_d$$ m d where it can satisfactorily behave as the curvaton and source the observed primordial density perturbation. We also predict local non-Gaussianity signals for bi-spectrum and tri-spectrum $$f_{NL}$$ f NL and $$g_{NL}$$ g NL , as a function of the ratio $$m_u/m_d$$ m u / m d , which are within the allowed range in the latest Planck observations and are detectable with future observations. Particularly we find that the value of $$f_{NL}$$ f NL and $$g_{NL}$$ g NL are dependent on the ratio of $$m_u$$ m u and $$m_d$$ m d : $$f_{NL}$$ f NL is more or less positive for all scenarios except $$m_u = m_d$$ m u = m d and $$g_{NL}$$ g NL is always positive irrespective of the ratio between $$m_u$$ m u and $$m_d$$ m d . The results of our analysis in the limit $$m_u = m_d$$ m u = m d resembles vanilla curvaton scenario while in the limit $$m_u \gg m_d$$ m u ≫ m d resembles pure axion cosine potential. This is because the model has the unique feature where the extra matter in the dark sector determines the nature and shape of the potential.
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spelling doaj-art-af7553a96974434ab59e8fd31df385802025-02-09T12:51:56ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-10-01841011310.1140/epjc/s10052-024-13330-3Generalising axion-like particle as the curvaton: sourcing primordial density perturbation and non-GaussianitiesAnish Ghoshal0Abhishek Naskar1Faculty of Physics, Institute of Theoretical Physics, University of WarsawDepartment of Physics, Indian Institute of Technology BombayAbstract We investigate the non-perturbatively generated axion-like particle (ALP) potential, involving fermions in the dark sector that couple to the ALP, in an early universe cosmological inflationary stage with the ALP being a spectator field. The potential here deviates from the standard cosine nature due to the presence of the two dark sector fermion masses $$m_u$$ m u and $$m_d$$ m d which couple to the ALP. The ALP is a spectator field during inflation but it starts to oscillate and dominates the energy density of the universe after inflation ends, thereby sourcing isocurvature perturbations, while standard curvature fluctuations from the inflaton are assumed to be sub-dominant. Subsequently the ALP decays converting the isocurvature perturbations to adiabatic perturbations thereby acting as the origin of the primordial density perturbations. We identify the parameter space involving the axion decay constant $$f_{\phi }$$ f ϕ , scale of confinement $$\Lambda $$ Λ , ALP mass m and the masses of the fermions, $$m_u$$ m u and $$m_d$$ m d where it can satisfactorily behave as the curvaton and source the observed primordial density perturbation. We also predict local non-Gaussianity signals for bi-spectrum and tri-spectrum $$f_{NL}$$ f NL and $$g_{NL}$$ g NL , as a function of the ratio $$m_u/m_d$$ m u / m d , which are within the allowed range in the latest Planck observations and are detectable with future observations. Particularly we find that the value of $$f_{NL}$$ f NL and $$g_{NL}$$ g NL are dependent on the ratio of $$m_u$$ m u and $$m_d$$ m d : $$f_{NL}$$ f NL is more or less positive for all scenarios except $$m_u = m_d$$ m u = m d and $$g_{NL}$$ g NL is always positive irrespective of the ratio between $$m_u$$ m u and $$m_d$$ m d . The results of our analysis in the limit $$m_u = m_d$$ m u = m d resembles vanilla curvaton scenario while in the limit $$m_u \gg m_d$$ m u ≫ m d resembles pure axion cosine potential. This is because the model has the unique feature where the extra matter in the dark sector determines the nature and shape of the potential.https://doi.org/10.1140/epjc/s10052-024-13330-3
spellingShingle Anish Ghoshal
Abhishek Naskar
Generalising axion-like particle as the curvaton: sourcing primordial density perturbation and non-Gaussianities
European Physical Journal C: Particles and Fields
title Generalising axion-like particle as the curvaton: sourcing primordial density perturbation and non-Gaussianities
title_full Generalising axion-like particle as the curvaton: sourcing primordial density perturbation and non-Gaussianities
title_fullStr Generalising axion-like particle as the curvaton: sourcing primordial density perturbation and non-Gaussianities
title_full_unstemmed Generalising axion-like particle as the curvaton: sourcing primordial density perturbation and non-Gaussianities
title_short Generalising axion-like particle as the curvaton: sourcing primordial density perturbation and non-Gaussianities
title_sort generalising axion like particle as the curvaton sourcing primordial density perturbation and non gaussianities
url https://doi.org/10.1140/epjc/s10052-024-13330-3
work_keys_str_mv AT anishghoshal generalisingaxionlikeparticleasthecurvatonsourcingprimordialdensityperturbationandnongaussianities
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