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arXiv 1406.1369astro-ph.COgr-qchep-phhep-th
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B模偏振测量对暴胀引力波直接探测的意义

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

Sachiko Kuroyanagi, Shinji Tsujikawa, Takeshi Chiba, Naoshi Sugiyama

摘要:

本文研究了利用下一代干涉探测器直接测量暴胀引力波的前景,这种探测器可能探测到宇宙微波背景的B模偏振。本文计算了张量标量比大于0.01量级的大场暴胀模型中两种干涉探测器(DECIGO和BBO)的引力波背景谱和信噪比。如果二次势混沌暴胀的再加热温度$T_{\rm RH}$较高(升级后的DECIGO为$T_{\rm RH}>7.9\times10^6$ GeV,BBO为$T_{\rm RH}> 1.8\times 10^{6}$ GeV),那么在未来的实验中,在$3σ$置信水平下,将有可能达到引力背景的灵敏度。如果$f>4.2 M_{\rm pl}$(升级的DECIGO)和$T_{\rm RH}$高于$10^8$ GeV的$f>3.6 M_{\rm pl}$(BBO),直接检测也可能用于具有潜在$V(ϕ)=Λ^4 [1-\cos(ϕ/f)]$的自然膨胀。在暴胀子场$ϕ$和Ricci标量$R$之间具有非最小耦合$ξ$的四次势$V(ϕ)=λϕ^4/4$引起$|ξ|$小于0.01量级的引力波的可探测水平,而与再加热温度无关。

英文摘要:

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 $T_{\rm RH}$ of chaotic inflation with the quadratic potential is high ($T_{\rm RH}>7.9\times10^6$ GeV for upgraded DECIGO and $T_{\rm RH}> 1.8\times 10^{6}$ GeV for BBO), it will be possible to reach the sensitivity of the gravitational background in future experiments at $3σ$ confidence level. The direct detection is also possible for natural inflation with the potential $V(ϕ)=Λ^4 [1-\cos(ϕ/f)]$, provided that $f>4.2 M_{\rm pl}$ (upgraded DECIGO) and $f>3.6 M_{\rm pl}$ (BBO) with $T_{\rm RH}$ higher than $10^8$ GeV. The quartic potential $V(ϕ)=λϕ^4/4$ with a non-minimal coupling $ξ$ between the inflaton field $ϕ$ and the Ricci scalar $R$ gives rise to a detectable level of gravitational waves for $|ξ|$ smaller than the order of 0.01, irrespective of the reheating temperature.

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