Chapman-Bird, C. E.A., Berry, C. P.L. and Woan, G. (2023) Rapid determination of LISA sensitivity to extreme mass ratio inspirals with machine learning. Monthly Notices of the Royal Astronomical Society, 522(4), pp. 6043-6054. (doi: 10.1093/mnras/stad1397)
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Abstract
Gravitational wave observations of the inspiral of stellar-mass compact objects into massive black holes (MBHs), extreme mass ratio inspirals (EMRIs), enable precision measurements of parameters such as the MBH mass and spin. The Laser Interferometer Space Antenna is expected to detect sufficient EMRIs to probe the underlying source population, testing theories of the formation and evolution of MBHs and their environments. Population studies are subject to selection effects that vary across the EMRI parameter space, which bias inference results if unaccounted for. This bias can be corrected, but evaluating the detectability of many EMRI signals is computationally expensive. We mitigate this cost by (i) constructing a rapid and accurate neural network interpolator capable of predicting the signal-to-noise ratio of an EMRI from its parameters, and (ii) further accelerating detectability estimation with a neural network that learns the selection function, leveraging our first neural network for data generation. The resulting framework rapidly estimates the selection function, enabling a full treatment of EMRI detectability in population inference analyses. We apply our method to an astrophysically motivated EMRI population model, demonstrating the potential selection biases and subsequently correcting for them. Accounting for selection effects, we predict that with 116 EMRI detections LISA will measure the MBH mass function slope to a precision of 8.8 per cent, the CO mass function slope to a precision of 4.6 per cent, the width of the MBH spin magnitude distribution to a precision of 10 per cent, and the event rate to a precision of 12 per cent with EMRIs at redshifts below z = 6.
| Item Type: | Articles |
|---|---|
| Additional Information: | CEAC-B is supported by STFC studentship 2446638. This work was supported in part by STFC grant ST/V005634/1. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Chapman-Bird, Mr Christian and Berry, Dr Christopher and Woan, Professor Graham |
| Authors: | Chapman-Bird, C. E.A., Berry, C. P.L., and Woan, G. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Research Centre: | College of Science and Engineering > School of Physics and Astronomy > Institute for Gravitational Research |
| Journal Name: | Monthly Notices of the Royal Astronomical Society |
| Publisher: | Oxford University Press |
| ISSN: | 0035-8711 |
| ISSN (Online): | 1365-2966 |
| Published Online: | 10 May 2023 |
| Copyright Holders: | Copyright © 2023 The Author(s). |
| First Published: | First published in Monthly Notices of the Royal Astronomical Society 522(4):6043-6054 |
| Publisher Policy: | Reproduced under a Creative Commons license |
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