Alternative LISA-TAIJI networks: detectability of the isotropic stochastic gravitational wave background
Gang Wang,
Wen-Biao Han
Abstract:In previous work [1], three TAIJI orbital deployments have been proposed to compose alternative LISA-TAIJI networks, TAIJIm (leading the Earth by 20 • and −60 • inclined with respect to ecliptic plane), TAIJIp (leading the Earth by 20 • and +60 • inclined), TAIJIc (colocated and coplanar with LISA) with respect to LISA mission (trailing the Earth by 20 • and +60 • inclined). And the LISA-TAIJIm network has been identified as the most capable configuration for massive black hole binary observation. In this work… Show more
“…where g * s (τ k ) is the effective relativistic degree of freedom for the entropy density, Ω r is the cosmological parameter for radiation today, and Ω GW,eq (f ) is the GW spectrum at the matter- and constant-roll model (right), together with the sensitivity curves of LISA [154] (solid), Taiji [155] (dashed), and TianQin [156] (dotted), provided PBHs with peak mass M c to be all the dark matter.…”
Section: B Induced Gravitational Wavesmentioning
confidence: 99%
“…We show Ω GW (f ) h 2 of the Starobinsky model and constant-roll model with the sensitivity curves of LISA [154], Taiji [155], and TianQin [156] in Fig. 8.…”
We study the power spectrum of the comoving curvature perturbation R in the model that glues two linear potentials of different slopes, originally proposed by Starobinsky. We find that the enhanced power spectrum reaches its maximum at the wavenumber which is π times the junction scale. The peak is ∼ 2.61 times larger than the ultraviolet plateau. We also show that its near-peak behavior can be well approximated by a constant-roll model, once we define the effective ultraslow-roll e-folding number appropriately by considering the contribution from nonsingle-clock phase only. Such an abrupt transition to non-attractor phase can leave some interesting characteristic features in the energy spectrum of the scalar-induced gravitational waves, which are detectable in the space-borne interferometers if the primordial black holes generated at such a high peak are all the dark matter.
“…where g * s (τ k ) is the effective relativistic degree of freedom for the entropy density, Ω r is the cosmological parameter for radiation today, and Ω GW,eq (f ) is the GW spectrum at the matter- and constant-roll model (right), together with the sensitivity curves of LISA [154] (solid), Taiji [155] (dashed), and TianQin [156] (dotted), provided PBHs with peak mass M c to be all the dark matter.…”
Section: B Induced Gravitational Wavesmentioning
confidence: 99%
“…We show Ω GW (f ) h 2 of the Starobinsky model and constant-roll model with the sensitivity curves of LISA [154], Taiji [155], and TianQin [156] in Fig. 8.…”
We study the power spectrum of the comoving curvature perturbation R in the model that glues two linear potentials of different slopes, originally proposed by Starobinsky. We find that the enhanced power spectrum reaches its maximum at the wavenumber which is π times the junction scale. The peak is ∼ 2.61 times larger than the ultraviolet plateau. We also show that its near-peak behavior can be well approximated by a constant-roll model, once we define the effective ultraslow-roll e-folding number appropriately by considering the contribution from nonsingle-clock phase only. Such an abrupt transition to non-attractor phase can leave some interesting characteristic features in the energy spectrum of the scalar-induced gravitational waves, which are detectable in the space-borne interferometers if the primordial black holes generated at such a high peak are all the dark matter.
“…In the small-r limit, the peak value levels off to a constant, 2.95 × 10 −11 . The gray curves are the power-law integrated sensitivity of LISA (solid) [148], Taiji (dashed) [149], and TianQin (dotted) [150].…”
In the curvaton scenario, the curvature perturbation is generated after inflation at the curvaton decay, which may have a prominent non-Gaussian effect. For a model with a non-trivial kinetic term, an enhanced curvature perturbation on a small scale can be realized, which can lead to copious production of primordial black holes (PBHs) and induce secondary gravitational waves (GWs). Using the probability distribution function which takes full nonlinear effects into account, we calculate the PBH formation. We find that under the assumption that thus formed PBHs would not overclose the universe, the non-Gaussianity of the curvature perturbation can be well approximated by the local quadratic form, which can be used to calculate the induced GWs. In this model the limit of large non-Gaussianity can be reached when the curvaton energy fraction r is small at the moment of curvaton decay. We also show that the r → 1 limit of non-Gaussianity coincides with that of ultra-slow-roll inflation.
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