论文标题
通过第三代重力波检测器爱因斯坦望远镜提高参数测量精度
Improvement of the parameter measurement accuracy by the third-generation gravitational wave detector Einstein Telescope
论文作者
论文摘要
爱因斯坦望远镜（ET）已被认为是第三代重力波（GW）探测器之一。 ET的敏感性将比第二代GW检测器（Advanced Ligo（Aligo））好10倍。因此，可以以更好的精度来测量GW源参数。在这项工作中，我们展示了如何通过比较测量误差来提高参数估计的精度。我们将频域定义的Taylorf2波形模型应用于Fisher矩阵方法，该方法是一种半分析方法，用于估计GW参数测量误差。我们采用的是我们的低质量二进制黑洞，总质量为$ M \ leq 16 m _ {\ odot} $，有效的旋转$ -0.9 \ leq fχχ_ {\ rm eff} \ leq leq 0.9 $，并随机计算质量和spin参数的尺寸误差$ 10^4 $ $ monte unte same和spin参数，我们我们发现，对于相同的来源，ET可以比Aligo获得比Aligo更好的信噪比和误差比（$σ_{λ，\ rm et}/σ_{λ，\ rm aligo} $）对于CHIRP-MASS，对称的质量比率，有效的Spin参数可能比$ 7 $ $ 7 \％。我们还考虑了相等的质量二进制中子星，其组件质量为1、1.4和2 $ m _ {\ odot} $，并发现质量和旋转参数的误差比可以低于$ 1.5 \％$。特别是，ET也可以大大降低潮汐变形性$ \tildeλ$的测量误差，误差比为$ 3.6-6.1 \％$。
The Einstein Telescope (ET) has been proposed as one of the third-generation gravitational wave (GW) detectors. The sensitivity of ET would be a factor of 10 better than the second-generation GW detector, Advanced LIGO (aLIGO); thus, the GW source parameters could be measured with much better accuracy. In this work, we show how the precision in parameter estimation can be improved between aLIGO and ET by comparing the measurement errors. We apply the TaylorF2 waveform model defined in the frequency domain to the Fisher matrix method which is a semi-analytic approach for estimating GW parameter measurement errors. We adopt as our sources low-mass binary black holes with the total masses of $M\leq 16 M_{\odot} $ and the effective spins of $-0.9 \leq χ_{\rm eff} \leq 0.9$ and calculate the measurement errors of the mass and the spin parameters using $10^4$ Monte-Carlo samples randomly distributed in our mass and spin parameter space. We find that for the same sources ET can achieve $\sim 14$ times better signal-to-noise ratio than aLIGO and the error ratios ($σ_{λ, \rm ET}/σ_{λ, \rm aLIGO}$) for the chirp-mass, symmetric mass ratio, and effective spin parameters can be lower than $7\%$ for all binaries. We also consider the equal-mass binary neutron stars with the component masses of 1, 1.4, and 2 $M_{\odot}$ and find that the error ratios for the mass and the spin parameters can be lower than $1.5 \%$. In particular, the measurement error of the tidal deformability $\tildeΛ$ can also be significantly reduced by ET, with the error ratio of $3.6 - 6.1 \%$.
