Measuring the net circular polarization of the stochastic gravitational wave background with interferometers

Measuring the net circular polarization of the stochastic gravitational wave background with interferometers
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用干涉仪测量随机引力波背景的净圆偏振

DOI:
10.1088/1475-7516/2020/05/028
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发表时间:
2020
影响因子:
6.4
通讯作者:
Tasinato, Gianmassimo
Tasinato, Gianmassimo
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Domcke, Valerie;García-Bellido, Juan;Peloso, Marco;Pieroni, Mauro;Ricciardone, Angelo;Sorbo, Lorenzo;Tasinato, Gianmassimo

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早期宇宙中的宇称破坏相互作用可以产生具有净圆偏振的随机引力波背景(SGWB)。在本文中,我们研究了用干涉仪探测超宽带圆偏振的可能方法。平面探测器不能测量各向同性SGWB的净圆偏振。我们讨论了利用太阳系相对于宇宙坐标系运动产生的偶极各向异性,用平面探测器测量SGWB净圆偏振的可能性。我们将这种方法应用于LISA,通过更详细的计算并使用最新的仪器规格重新评估了以前的分析,并将其应用于爱因斯坦望远镜(ET),首次估计了其对圆偏振的敏感性。我们发现,尽管LISA和ET的工作频率不同,但在幅度为h 2ΩGW≃10−11的SGWB中,LISA和ET都可以探测到一阶信噪比的净圆偏振。我们给出了圆偏振情况下探测器重叠函数的完全解析协变公式。我们的公式不依赖于特定的参照系的选择,可以应用于臂间有任意角度的干涉仪。
Parity violating interactions in the early Universe can source a stochastic gravitational wave background (SGWB) with a net circular polarization. In this paper, we study possible ways to search for circular polarization of the SGWB with interferometers. Planar detectors are unable to measure the net circular polarization of an isotropic SGWB. We discuss the possibility of using the dipolar anisotropy kinematically induced by the motion of the solar system with respect to the cosmic reference frame to measure the net circular polarization of the SGWB with planar detectors. We apply this approach to LISA, re-assessing previous analyses by means of a more detailed computation and using the most recent instrument specifications, and to the Einstein Telescope (ET), estimating for the first time its sensitivity to circular polarization. We find that both LISA and ET, despite operating at different frequencies, could detect net circular polarization with a signal-to-noise ratio of order one in a SGWB with amplitude h 2 Ω GW≃ 10− 11. We also investigate the case of a network of ground based detectors. We present fully analytical, covariant formulas for the detector overlap functions in the presence of circular polarization. Our formulas do not rely on particular choices of reference frame, and can be applied to interferometers with arbitrary angles among their arms.
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