2019
DOI: 10.1007/s11433-019-9605-5
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Measuring the tilt of primordial gravitational-wave power spectrum from observations

Abstract: Primordial gravitational waves generated during inflation lead to the B-mode polarization in the cosmic microwave background and a stochastic gravitational wave background in the Universe. We will explore the current constraint on the tilt of primordial gravitational-wave spectrum, and forecast how the future observations can improve the current constraint.

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Cited by 30 publications
(11 citation statements)
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“…Recently, four major pulsar timing array (PTA) collaborations, namely the North American Nanohertz Observatory for Gravitational Waves (NANOGrav) [1,2], the Parkes PTA (PPTA) [3,4], the European PTA (EPTA) along with the Indian PTA (InPTA) [5,6], and the Chinese PTA (CPTA) [7], have jointly announced compelling evidence of a commonspectrum signal consistent with the Hellings-Downs spatial correlations [8] in their latest data sets, thus suggesting a gravitational wave (GW) origin for this signal. While various physical phenomena [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] can produce GW signals within the PTA frequency band, the precise origin of this signal, whether attributed to supermassive black hole binaries [24][25][26][27] or other cosmological sources , remains an ongoing subject of investigation.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, four major pulsar timing array (PTA) collaborations, namely the North American Nanohertz Observatory for Gravitational Waves (NANOGrav) [1,2], the Parkes PTA (PPTA) [3,4], the European PTA (EPTA) along with the Indian PTA (InPTA) [5,6], and the Chinese PTA (CPTA) [7], have jointly announced compelling evidence of a commonspectrum signal consistent with the Hellings-Downs spatial correlations [8] in their latest data sets, thus suggesting a gravitational wave (GW) origin for this signal. While various physical phenomena [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] can produce GW signals within the PTA frequency band, the precise origin of this signal, whether attributed to supermassive black hole binaries [24][25][26][27] or other cosmological sources , remains an ongoing subject of investigation.…”
Section: Introductionmentioning
confidence: 99%
“…The predicted SGWB from compact binary coalescences is well modeled by a power law of slope n GW = 2/3, and n GW = 0 corresponds to a scale-invariant energy. For the primordial GWs, Ω GW (f ) ∝ f nt+αt ln(f /fCMB)/2 , where n t is the spectral index of primordial GW power spectrum and α t is the running of spectral index [60][61][62][63]. For the white noise which corresponds to a random signal, the spectral density S h is a constant, and then Ω GW (f ) ∝ f 3 .…”
mentioning
confidence: 99%
“…How to explain the flatness of our Universe is one of the crucial motivations for inflationary cosmology [51][52][53] (see [54,55] for some recent investigations). In general, inflationary models have a large number of e-folds, and hence our Universe should be very closed to spatially flat.…”
Section: Spatial Curvaturementioning
confidence: 99%