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arXiv 2307.03095astro-ph.COastro-ph.HEgr-qc
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基于BBN、CMB与PTA数据联合分析对标量诱导引力波高达三阶的限制

Constraints On Scalar-Induced Gravitational Waves Up To Third Order From Joint Analysis of BBN, CMB, And PTA Data

Sai Wang, Zhi-Chao Zhao, Qing-Hua Zhu

AI总结:

本文联合BBN、CMB与PTA数据研究二阶和三阶标量诱导引力波,给出原初曲率谱振幅与峰值频率限制,并指出三阶引力波在较大振幅下贡献更显著。

摘要:

近期,脉冲星计时阵列(PTA)合作组报告了引力波背景的强有力证据。在标量诱导引力波(SIGWs)框架下,我们通过联合分析PTA数据以及大爆炸核合成(BBN)和宇宙微波背景(CMB)数据集,同时研究二阶和三阶引力波。我们确定原初曲率谱振幅为$0.021<A_ζ<0.085$,谱峰值频率为$10^{-7.3}\\ \mathrm{Hz}<f_\ast<10^{-6.3}\\ \mathrm{Hz}$,置信区间为95%,指向原初黑洞的质量范围为$10^{-4.5}M_\odot<m_{\mathrm{PBH}}<10^{-2.5}M_\odot$。我们的研究结果表明,当$A_ζ\gtrsim0.06$时,三阶引力波对积分能量密度的贡献比二阶引力波更为显著。此外,我们期望未来的PTA项目能够验证这些发现,并为研究宇宙的起源与演化,尤其是暴胀,提供可靠的手段。

英文摘要:

Recently, strong evidence for a gravitational wave background has been reported by collaborations of pulsar timing arrays (PTA). In the framework of scalar-induced gravitational waves (SIGWs), we concurrently investigate the second and third order gravitational waves by jointly analyzing PTA data, alongside big-bang nucleosynthesis (BBN), and cosmic microwave background (CMB) datasets. We determine the primordial curvature spectral amplitude as $0.021<A_ζ<0.085$ and the spectral peak frequency as $10^{-7.3}\ \mathrm{Hz}<f_\ast<10^{-6.3}\ \mathrm{Hz}$ at a 95\% confidence interval, pointing towards a mass range for primordial black holes of $10^{-4.5}M_\odot<m_{\mathrm{PBH}}<10^{-2.5}M_\odot$. Our findings suggest that third order gravitational waves contribute more significantly to the integrated energy density than the second order ones when $A_ζ\gtrsim0.06$. Furthermore, we expect future PTA projects to validate these findings and provide robust means to investigate the genesis and evolution of the universe, especially inflation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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