Prospects for EMRI/MBH parameter estimation using Quasi-Periodic Eruption timings: short-timescale analysis

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Main Authors: Chakraborty, Joheen, Drummond, Lisa V., Bonetti, Matteo, Franchini, Alessia, Kejriwal, Shubham, Miniutti, Giovanni, Arcodia, Riccardo, Hughes, Scott A., Duque, Francisco, Kara, Erin, Sesana, Alberto, Giustini, Margherita, Motta, Amedeo, Burdge, Kevin
Format: Preprint
Published: 2025
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author Chakraborty, Joheen
Drummond, Lisa V.
Bonetti, Matteo
Franchini, Alessia
Kejriwal, Shubham
Miniutti, Giovanni
Arcodia, Riccardo
Hughes, Scott A.
Duque, Francisco
Kara, Erin
Sesana, Alberto
Giustini, Margherita
Motta, Amedeo
Burdge, Kevin
author_facet Chakraborty, Joheen
Drummond, Lisa V.
Bonetti, Matteo
Franchini, Alessia
Kejriwal, Shubham
Miniutti, Giovanni
Arcodia, Riccardo
Hughes, Scott A.
Duque, Francisco
Kara, Erin
Sesana, Alberto
Giustini, Margherita
Motta, Amedeo
Burdge, Kevin
contents Quasi-Periodic Eruptions (QPEs) are luminous, recurring X-ray outbursts from galactic nuclei, with timescales of hours to days. While their origin remains uncertain, leading models invoke accretion disk instabilities or the interaction of a massive black hole (MBH) with a lower-mass secondary in an extreme mass ratio inspiral (EMRI). EMRI scenarios offer a robust framework for interpreting QPEs by characterizing observational signatures associated with the secondary's orbital dynamics. This, in turn, enables extraction of the MBH/EMRI physical properties and provides a means to test the EMRI scenario, distinguishing models and addressing the question: what can QPE timings teach us about massive black holes and EMRIs? In this study, we employ analytic expressions for Kerr geodesics to efficiently resolve the trajectory of the secondary object and perform GPU-accelerated Bayesian inference to assess the information content of QPE timings. Using our inference framework, referred to as QPE-FIT (Fast Inference with Timing), we explore QPE timing constraints on astrophysical parameters, such as EMRI orbital parameters and MBH mass/spin. We find that mild-eccentricity EMRIs ($e\sim0.1-0.3$) can constrain MBH mass and EMRI semimajor axis/eccentricity to the 10% level within tens of orbital periods, while MBH spin is unconstrained for the explored semimajor axes $\geq 100R_g$ and monitoring baselines $\mathcal{O}(10-100\rm)$ orbits. Introducing a misaligned precessing disk generally degrades inference of EMRI orbital parameters, but can constrain disk precession properties within 10-50%. This work both highlights the prospect of QPE observations as dynamical probes of galactic nuclei and outlines the challenge of doing so in the multimodal parameter space of EMRI-disk collisions.
format Preprint
id arxiv_https___arxiv_org_abs_2508_20162
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Prospects for EMRI/MBH parameter estimation using Quasi-Periodic Eruption timings: short-timescale analysis
Chakraborty, Joheen
Drummond, Lisa V.
Bonetti, Matteo
Franchini, Alessia
Kejriwal, Shubham
Miniutti, Giovanni
Arcodia, Riccardo
Hughes, Scott A.
Duque, Francisco
Kara, Erin
Sesana, Alberto
Giustini, Margherita
Motta, Amedeo
Burdge, Kevin
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Quasi-Periodic Eruptions (QPEs) are luminous, recurring X-ray outbursts from galactic nuclei, with timescales of hours to days. While their origin remains uncertain, leading models invoke accretion disk instabilities or the interaction of a massive black hole (MBH) with a lower-mass secondary in an extreme mass ratio inspiral (EMRI). EMRI scenarios offer a robust framework for interpreting QPEs by characterizing observational signatures associated with the secondary's orbital dynamics. This, in turn, enables extraction of the MBH/EMRI physical properties and provides a means to test the EMRI scenario, distinguishing models and addressing the question: what can QPE timings teach us about massive black holes and EMRIs? In this study, we employ analytic expressions for Kerr geodesics to efficiently resolve the trajectory of the secondary object and perform GPU-accelerated Bayesian inference to assess the information content of QPE timings. Using our inference framework, referred to as QPE-FIT (Fast Inference with Timing), we explore QPE timing constraints on astrophysical parameters, such as EMRI orbital parameters and MBH mass/spin. We find that mild-eccentricity EMRIs ($e\sim0.1-0.3$) can constrain MBH mass and EMRI semimajor axis/eccentricity to the 10% level within tens of orbital periods, while MBH spin is unconstrained for the explored semimajor axes $\geq 100R_g$ and monitoring baselines $\mathcal{O}(10-100\rm)$ orbits. Introducing a misaligned precessing disk generally degrades inference of EMRI orbital parameters, but can constrain disk precession properties within 10-50%. This work both highlights the prospect of QPE observations as dynamical probes of galactic nuclei and outlines the challenge of doing so in the multimodal parameter space of EMRI-disk collisions.
title Prospects for EMRI/MBH parameter estimation using Quasi-Periodic Eruption timings: short-timescale analysis
topic High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2508.20162