We present a Python based parameter inference system for the gravitational wave(GW)measured in the millihertz band.This system includes the following features:the GW waveform originated from the massive black hole bin...We present a Python based parameter inference system for the gravitational wave(GW)measured in the millihertz band.This system includes the following features:the GW waveform originated from the massive black hole binaries(MBHB),the stationary instrumental Gaussian noise,the higher-order harmonic modes,the full response function from the time delay interferometry and the Gaussian likelihood function with the dynamic nested parameter sampler.In particular,we highlight the role of higher-order modes.By including these modes,the luminosity distance estimation precision can be improved roughly by a factor of 50,compared with the case with only the leading order(l=2,|m|=2)mode.This is due to the response functions of different harmonic modes on the inclination angle are different.Hence,it can help to break the distance-inclination degeneracy.Furthermore,we show the robustness of testing general relativity(GR)by using higher-order harmonics.Our results show that the GW from MBHB can simultaneously constrain four of the higher harmonic amplitudes(deviation from GR)with 95%confidence level of c21=0.54-1.05+0.82,c32=-0.65-1.42+3.02,c33=0.56-0.96^(+0.79) and c44=1.57-2.19^(+3.22),respectively.展开更多
基金supported by the National Key R&D Program of China No.2021YFC2203001。
文摘We present a Python based parameter inference system for the gravitational wave(GW)measured in the millihertz band.This system includes the following features:the GW waveform originated from the massive black hole binaries(MBHB),the stationary instrumental Gaussian noise,the higher-order harmonic modes,the full response function from the time delay interferometry and the Gaussian likelihood function with the dynamic nested parameter sampler.In particular,we highlight the role of higher-order modes.By including these modes,the luminosity distance estimation precision can be improved roughly by a factor of 50,compared with the case with only the leading order(l=2,|m|=2)mode.This is due to the response functions of different harmonic modes on the inclination angle are different.Hence,it can help to break the distance-inclination degeneracy.Furthermore,we show the robustness of testing general relativity(GR)by using higher-order harmonics.Our results show that the GW from MBHB can simultaneously constrain four of the higher harmonic amplitudes(deviation from GR)with 95%confidence level of c21=0.54-1.05+0.82,c32=-0.65-1.42+3.02,c33=0.56-0.96^(+0.79) and c44=1.57-2.19^(+3.22),respectively.
