Constraining inflation with nonminimal derivative coupling with the Parkes Pulsar Timing Array third data release
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| Main Authors: | , , , , , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| author | Han, Chang Chen, Li-Yang Chen, Zu-Cheng Fu, Chengjie Wu, Puxun Yu, Hongwei Bhat, N. D. Ramesh Liu, Xiaojin Di Marco, Valentina Mishra, Saurav Reardon, Daniel J. Russell, Christopher J. Shannon, Ryan M. Zhang, Lei Zhu, Xingjiang Zic, Andrew |
| author_facet | Han, Chang Chen, Li-Yang Chen, Zu-Cheng Fu, Chengjie Wu, Puxun Yu, Hongwei Bhat, N. D. Ramesh Liu, Xiaojin Di Marco, Valentina Mishra, Saurav Reardon, Daniel J. Russell, Christopher J. Shannon, Ryan M. Zhang, Lei Zhu, Xingjiang Zic, Andrew |
| contents | We study an inflation model with nonminimal derivative coupling that features a coupling between the derivative of the inflaton field and the Einstein tensor. This model naturally amplifies curvature perturbations at small scales via gravitationally enhanced friction, a mechanism critical for the formation of primordial black holes and the associated production of potentially detectable scalar-induced gravitational waves. We derive analytical expressions for the primordial power spectrum, enabling efficient exploration of the model parameter space without requiring computationally intensive numerical solutions of the Mukhanov-Sasaki equation. Using the third data release of the Parkes Pulsar Timing Array (PPTA DR3), we constrain the model parameters characterizing the coupling function: $ϕ_c = 3.7^{+0.3}_{-0.5} M_\mathrm{P}$, $\log_{10} ω_L = 7.1^{+0.6}_{-0.3}$, and $\log_{10} σ= -8.3^{+0.3}_{-0.6}$ at 90\% confidence level. Our results demonstrate the growing capability of pulsar timing arrays to probe early Universe physics, complementing traditional cosmic microwave background observations by providing unique constraints on inflationary dynamics at small scales. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_09755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraining inflation with nonminimal derivative coupling with the Parkes Pulsar Timing Array third data release Han, Chang Chen, Li-Yang Chen, Zu-Cheng Fu, Chengjie Wu, Puxun Yu, Hongwei Bhat, N. D. Ramesh Liu, Xiaojin Di Marco, Valentina Mishra, Saurav Reardon, Daniel J. Russell, Christopher J. Shannon, Ryan M. Zhang, Lei Zhu, Xingjiang Zic, Andrew General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics We study an inflation model with nonminimal derivative coupling that features a coupling between the derivative of the inflaton field and the Einstein tensor. This model naturally amplifies curvature perturbations at small scales via gravitationally enhanced friction, a mechanism critical for the formation of primordial black holes and the associated production of potentially detectable scalar-induced gravitational waves. We derive analytical expressions for the primordial power spectrum, enabling efficient exploration of the model parameter space without requiring computationally intensive numerical solutions of the Mukhanov-Sasaki equation. Using the third data release of the Parkes Pulsar Timing Array (PPTA DR3), we constrain the model parameters characterizing the coupling function: $ϕ_c = 3.7^{+0.3}_{-0.5} M_\mathrm{P}$, $\log_{10} ω_L = 7.1^{+0.6}_{-0.3}$, and $\log_{10} σ= -8.3^{+0.3}_{-0.6}$ at 90\% confidence level. Our results demonstrate the growing capability of pulsar timing arrays to probe early Universe physics, complementing traditional cosmic microwave background observations by providing unique constraints on inflationary dynamics at small scales. |
| title | Constraining inflation with nonminimal derivative coupling with the Parkes Pulsar Timing Array third data release |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2412.09755 |