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Main Authors: Xie, Tianyi, Zhang, Dongdong, Jiang, Jie, Li, Jia-Rui, Wang, Bo, Cai, Yi-Fu
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2402.02415
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author Xie, Tianyi
Zhang, Dongdong
Jiang, Jie
Li, Jia-Rui
Wang, Bo
Cai, Yi-Fu
author_facet Xie, Tianyi
Zhang, Dongdong
Jiang, Jie
Li, Jia-Rui
Wang, Bo
Cai, Yi-Fu
contents In light of the non-perturbative resonance effects that may occur during inflation, we introduce a parametrization for the power spectrum of the stochastic gravitational wave background (SGWB) characterized by narrow-band amplification. We utilize the universal $Ω_\text{GW}\propto k^3$ infrared limit, applicable to a wide array of gravitational wave sources, to devise a robust yet straightforward parameterization optimized for Markov Chain Monte Carlo (MCMC) analyses. This parameterization is demonstrated through select examples where its application is pertinent, and we discuss the advantages of this approach over traditional parametrizations for narrow-band scenarios. To evaluate the sensitivity of our proposed model parameters, we apply a mock likelihood based on the CMB-Stage4 data. Furthermore, we explicate the computational process for the mapping relationship between the foundational model parameters and our parameterized framework, using a two-field inflation model that resonantly amplifies gravitational waves (GWs) as an example.
format Preprint
id arxiv_https___arxiv_org_abs_2402_02415
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A narrow-band parameterization for the stochastic gravitational wave background
Xie, Tianyi
Zhang, Dongdong
Jiang, Jie
Li, Jia-Rui
Wang, Bo
Cai, Yi-Fu
Cosmology and Nongalactic Astrophysics
In light of the non-perturbative resonance effects that may occur during inflation, we introduce a parametrization for the power spectrum of the stochastic gravitational wave background (SGWB) characterized by narrow-band amplification. We utilize the universal $Ω_\text{GW}\propto k^3$ infrared limit, applicable to a wide array of gravitational wave sources, to devise a robust yet straightforward parameterization optimized for Markov Chain Monte Carlo (MCMC) analyses. This parameterization is demonstrated through select examples where its application is pertinent, and we discuss the advantages of this approach over traditional parametrizations for narrow-band scenarios. To evaluate the sensitivity of our proposed model parameters, we apply a mock likelihood based on the CMB-Stage4 data. Furthermore, we explicate the computational process for the mapping relationship between the foundational model parameters and our parameterized framework, using a two-field inflation model that resonantly amplifies gravitational waves (GWs) as an example.
title A narrow-band parameterization for the stochastic gravitational wave background
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2402.02415