Parameter estimation of coalescing supermassive black hole binaries with LISA

K. G. Arun
2006 Physical Review D  
Laser Interferometer Space Antenna (LISA) will routinely observe coalescences of supermassive black hole (BH) binaries up to very high redshifts. LISA can measure mass parameters of such coalescences to a relative accuracy of 10^-4-10^-6, for sources at a distance of 3 Gpc. The problem of parameter estimation of massive nonspinning binary black holes using post-Newtonian (PN) phasing formula is studied in the context of LISA. Specifically, the performance of the 3.5PN templates is contrasted
more » ... inst its 2PN counterpart using a waveform which is averaged over the LISA pattern functions. The improvement due to the higher order corrections to the phasing formula is examined by calculating the errors in the estimation of mass parameters at each order. The estimation of the mass parameters M and η are significantly enhanced by using the 3.5PN waveform instead of the 2PN one. For an equal mass binary of 2×10^6M_ at a luminosity distance of 3 Gpc, the improvement in chirp mass is ∼ 11 Estimation of coalescence time t_c worsens by 43 for the unequal mass binary mergers. These results are compared to the ones obtained using a non-pattern averaged waveform. The errors depend very much on the location and orientation of the source and general conclusions cannot be drawn without performing Monte Carlo simulations. Finally the effect of the choice of the lower frequency cut-off for LISA on the parameter estimation is studied.
doi:10.1103/physrevd.74.024025 fatcat:lhp5pi33qfhvbeykuc5zknbnbu