A narrow-band parameterization for the stochastic gravitational wave background

Abstract

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 ${\Omega }_{\text{GW}}\propto k^3$ 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.

References in corpus (26)

• Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond
• Theory and Numerics of Gravitational Waves from Preheating after Inflation
• A Gravitational Wave Background from Reheating after Hybrid Inflation
• Gravitational waves from stochastic relativistic sources: primordial turbulence and magnetic fields
• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• Gravitational Wave Production At The End Of Inflation
• A stochastic background of gravitational waves from hybrid preheating
• A new cosmic microwave background constraint to primordial gravitational waves
• Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak
• Stochastic Gravitational-Wave Background due to Primordial Binary Black Hole Mergers
• Exact Scale-Invariant Background of Gravitational Waves from Cosmic Defects
• Primordial black holes and gravitational waves from resonant amplification during inflation
• Reconstructing Patchy Reionization from the Cosmic Microwave Background
• Scalar induced gravitational waves in inflation with gravitationally enhanced friction
• Collapse of Small-Scale Density Perturbations during Preheating in Single Field Inflation
• The gravitational waves from the first-order phase transition with a dimension-six operator
• Primordial Gravitational Waves and Cosmology
• Gravitational Waves from Oscillons with Cuspy Potentials
• Gravitational Waves From the End of Inflation: Computational Strategies
• Generation of gravitational waves during early structure formation between cosmic inflation and reheating
• Gravitational Waves and Scalar Perturbations from Spectator Fields
• Can the observed large scale magnetic fields be seeded by helical primordial fields?
• The Maximal Amount of Gravitational Waves in the Curvaton Scenario
• Stochastic Backgrounds of Gravitational Waves from Cosmological Sources: Techniques and Applications to Preheating
• Can a spectator scalar field enhance inflationary tensor mode?
• Observational signatures of the parametric amplification of gravitational waves during reheating after inflation