Implications of the B-mode Polarization Measurement for Direct Detection of Inflationary Gravitational Waves

Abstract

The prospects for direct measurements of inflationary gravitational waves by next generation interferometric detectors inferred from the possible detection of B-mode polarization of the cosmic microwave background are studied. We compute the spectra of the gravitational wave background and the signal-to-noise ratios by two interferometric detectors (DECIGO and BBO) for large-field inflationary models in which the tensor-to-scalar ratio is greater than the order of 0.01. If the reheating temperature $T_{\mathrm{RH}}$ of chaotic inflation with the quadratic potential is high ($T_{\mathrm{RH}}>7.9\times 10^6$ GeV for upgraded DECIGO and $T_{\mathrm{RH}}>1.8\times 10^6$ GeV for BBO), it will be possible to reach the sensitivity of the gravitational background in future experiments at $3\sigma$ confidence level. The direct detection is also possible for natural inflation with the potential $V(\varphi )={\Lambda }^4[1-\cos (\varphi /f)]$, provided that $f>4.2M_{\mathrm{pl}}$ (upgraded DECIGO) and $f>3.6M_{\mathrm{pl}}$ (BBO) with $T_{\mathrm{RH}}$ higher than $10^8$ GeV. The quartic potential $V(\varphi )=\lambda {\varphi }^4/4$ with a non-minimal coupling $\xi$ between the inflaton field $\varphi$ and the Ricci scalar $R$ gives rise to a detectable level of gravitational waves for $|\xi |$ smaller than the order of 0.01, irrespective of the reheating temperature.

17 pages, 11 figures; Signal-to-noise ratio of Ultimate-DECIGO is added in Fig. 4

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Cited by in corpus (12)

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• Inflationary tensor fossils in large-scale structure
• Prospects of determination of reheating temperature after inflation by DECIGO
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Studying Inflation with Future Space-Based Gravitational Wave Detectors
• Improvement of the target sensitivity in DECIGO by optimizing its parameters for quantum noise including the effect of diffraction loss
• Observational signatures of the parametric amplification of gravitational waves during reheating after inflation
• The History of Inflation from Microwave Background Polarimetry and Laser Interferometry
• First-step experiment in developing optical-spring quantum locking for DECIGO: sensitivity optimization for simulated quantum noise by completing the square
• Displacement-noise-free interferometeric gravitational-wave detector using unidirectional neutrons with four speeds
• Quantum noise in a Fabry-Perot interferometer including the influence of diffraction loss of light
• Primordial gravitational waves: Model effects on time evolution and spectrum