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DECIGO is the future Japanese gravitational wave detector in outer space. Wepreviously set the default design parameters to provide a good targetsensitivity to detect the primordial gravitational waves (GWs). However, theupdated upper limit of the primordial GWs by the Planck observations motivatedus for further optimization of the target sensitivity. Previously, we had notconsidered optical diffraction loss due to the very long cavity length. In thispaper, we optimize various DECIGO parameters by maximizing the signal-to-noiseratio (SNR), for the primordial GWs to quantum noise including the effects ofdiffraction loss. We evaluated the power spectrum density for one cluster inDECIGO utilizing the quantum noise of one differential Fabry-Perotinterferometer. Then we calculated the SNR by correlating two clusters in thesame position. We performed the optimization for two cases: the constantmirror-thickness case and the constant mirror-mass case. As a result, weobtained the SNR dependence on the mirror radius, which also determines variousDECIGO parameters. This result is the first step toward optimizing the DECIGOdesign by considering the practical constraints on the mirror dimension andimplementing other noise sources.

Improvement of the target sensitivity in DECIGO by optimizing its parameters for quantum noise including the effect of diffraction loss