Abstract
Parity violation is a powerful observable to distinguish a cosmological background of Gravitational Waves (GWs) from an astrophysical one. Planar single GW interferometers, both on ground and in space, are unable to measure the net circular polarization of an isotropic Stochastic Gravitational Wave Background (SGWB). In this paper, we explore the possibility of detecting circular polarization of an isotropic SGWB by cross-correlating two space-based detectors planned to be launched around 2034: LISA and Taiji. We compute the response of such a network to chirality and we perform a Fisher forecast analysis on the I and V Stokes parameters for the SGWB. We find that a clear measurement of chirality can be claimed for a maximally chiral flat signal with amplitude h 2 ΩGW ≃ 10−12 at the frequency scales of LISA and Taiji.
Highlights
ArXiv ePrint: 2011.07059 c 2021 The Author(s)
We explore the possibility of detecting circular polarization of an isotropic Stochastic Gravitational Wave Background (SGWB) by cross-correlating two space-based detectors planned to be launched around 2034: LISA and Taiji
In this paper we have estimated the sensitivity of the LISA-Taiji detector network to a chiral isotropic SGWB background, taking into account self and cross-correlation of all the channels of the two interferometers
Summary
We begin this section with a brief description of the LISA-Taiji detector network Where H0/h = 3.24 × 10−181/s is the value of the Hubble parameter at present time (h is its dimensionless parameter normalization) Both for LISA and Taiji it is possible to interpret the three output channels as data measured by three interferometers which share theirs arms. Notice that the maximum of RiVj (k) is roughly an order of magnitude smaller than RiIj(k) for the same combination Despite this suppression, the non-zero value of RiVj (k) in this combination constitutes a remarkable improvement with respect to self-correlations of planar detectors where this quantity was shown to be identically vanishing. The non-zero value of RiVj (k) in this combination constitutes a remarkable improvement with respect to self-correlations of planar detectors where this quantity was shown to be identically vanishing This open up a new channel for searching the chirality of gravitational waves with networks of space-based interferometers.
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