A Foundation for Gravitational-Wave Population Inference within the LISA Global Fit

Fuente: arXiv
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Auteurs principaux: Criswell, Alexander W., Banagiri, Sharan, Delfavero, Vera, Bustamante-Rosell, Maria Jose, Taylor, Stephen R., Rosati, Robert
Format: Preprint
Publié: 2026
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author Criswell, Alexander W.
Banagiri, Sharan
Delfavero, Vera
Bustamante-Rosell, Maria Jose
Taylor, Stephen R.
Rosati, Robert
author_facet Criswell, Alexander W.
Banagiri, Sharan
Delfavero, Vera
Bustamante-Rosell, Maria Jose
Taylor, Stephen R.
Rosati, Robert
contents Population inference in gravitational-wave astronomy allows us to connect individual detections to the astrophysics of compact objects and their environments. Current approaches employed for population inference with LIGO-Virgo-KAGRA data approximate evaluation of the hierarchical population likelihood via post-processing of individual-event posteriors. However, the case of the Laser Interferometer Space Antenna (LISA) will be more complex for two main reasons: the transdimensional "global fit" approach to LISA data analysis which models all signals and noise simultaneously, and the presence of both individually-resolved signals and the unresolved stochastic ``Galactic foreground" arising from the Galactic binary population, which induces a circular dependence between the resolved and unresolved systems and our ability to detect the former. These challenges are not without opportunity; LISA's data will contain every mHz compact binary in the Milky Way -- either individually or within the Galactic foreground -- with great potential for Galactic and stellar astrophysics. We therefore propose an alternative approach: direct evaluation of the full hierarchical population likelihood within the LISA global fit. We develop a statistical formalism for joint inference of individually-resolved gravitational-wave sources, an unresolved stochastic foreground, and a shared, underlying astrophysical population, present PELARGIR, a prototype GPU-accelerated population inference module for the LISA global fit, demonstrate the formalism and PELARGIR via a toy model analysis, and lay out a roadmap towards an astrophysically-motivated LISA global fit with embedded population inference. While we apply the formalism here to the population of LISA Galactic binaries, it is applicable across the gravitational-wave spectrum with use cases in pulsar timing and next-generation terrestrial observatories.
format Preprint
id arxiv_https___arxiv_org_abs_2604_03390
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Foundation for Gravitational-Wave Population Inference within the LISA Global Fit
Criswell, Alexander W.
Banagiri, Sharan
Delfavero, Vera
Bustamante-Rosell, Maria Jose
Taylor, Stephen R.
Rosati, Robert
Instrumentation and Methods for Astrophysics
Astrophysics of Galaxies
General Relativity and Quantum Cosmology
Population inference in gravitational-wave astronomy allows us to connect individual detections to the astrophysics of compact objects and their environments. Current approaches employed for population inference with LIGO-Virgo-KAGRA data approximate evaluation of the hierarchical population likelihood via post-processing of individual-event posteriors. However, the case of the Laser Interferometer Space Antenna (LISA) will be more complex for two main reasons: the transdimensional "global fit" approach to LISA data analysis which models all signals and noise simultaneously, and the presence of both individually-resolved signals and the unresolved stochastic ``Galactic foreground" arising from the Galactic binary population, which induces a circular dependence between the resolved and unresolved systems and our ability to detect the former. These challenges are not without opportunity; LISA's data will contain every mHz compact binary in the Milky Way -- either individually or within the Galactic foreground -- with great potential for Galactic and stellar astrophysics. We therefore propose an alternative approach: direct evaluation of the full hierarchical population likelihood within the LISA global fit. We develop a statistical formalism for joint inference of individually-resolved gravitational-wave sources, an unresolved stochastic foreground, and a shared, underlying astrophysical population, present PELARGIR, a prototype GPU-accelerated population inference module for the LISA global fit, demonstrate the formalism and PELARGIR via a toy model analysis, and lay out a roadmap towards an astrophysically-motivated LISA global fit with embedded population inference. While we apply the formalism here to the population of LISA Galactic binaries, it is applicable across the gravitational-wave spectrum with use cases in pulsar timing and next-generation terrestrial observatories.
title A Foundation for Gravitational-Wave Population Inference within the LISA Global Fit
topic Instrumentation and Methods for Astrophysics
Astrophysics of Galaxies
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2604.03390