Estimate of the detectability of the circular polarization signature of supernova gravitational waves using the Stokes parameters

The circular polarization of gravitational waves from core collapse supernovae has been proposed as a probe to investigate the rotation and physical features inside the core of the supernovae. However, it is still unclear as to how detectable the circular polarization of gravitational waves will be. We developed an algorithm referred to as the Stokes Circular Polarization algorithm for the computation of the Stokes parameters that works with the burst search pipeline coherent WaveBurst. Employing the waveform SFHx and the algorithm, we estimate the detectability of the circular polarization signatures (V mode of the Stokes parameters) for sources across the sky at three different distances 2, 5, and 10 kpc, for a network of gravitational wave detectors consisted of Advanced LIGO, Advanced VIRGO, and KAGRA. Using the Bayes factor, we found that, for 2 and 5 kpc, the majority of the sources (99.9% and 58.2%, respectively) will have their V mode detectable, while, for 10 kpc, no significant V mode is detectable. In addition, the significance of the V mode signature is consistent with the recoverability of the two polarizations of gravitational waves with respect to the network.