Rapid Parameter Estimation of Gravitational Waves from Binary Neutron Star Coalescence using Focused Reduced Order Quadrature

TL;DR

This paper introduces focused reduced order quadrature (FROQ), a novel technique that accelerates gravitational wave parameter estimation from binary neutron star coalescence by factors of 1000 to 10000, enabling rapid sky localization within minutes after detection.

Contribution

The paper presents FROQ, an improved method over traditional ROQ, tailored for quick parameter estimation and sky localization of gravitational waves from neutron star mergers.

Findings

FROQ accelerates parameter estimation by 1000-10000 times.

Enables source property estimation within tens of minutes.

Improves multi-messenger follow-up capabilities.

Abstract

Rapid parameter estimation of gravitational waves from binary neutron star coalescence, in particular accurate sky localisation in minutes after the initial detection stage, is crucial for the success of multi-messenger observations. One of the techniques to speed up the parameter estimation, which has been applied for the production analysis of the LIGO-Virgo collaboration, is reduced order quadrature (ROQ). While it speeds up parameter estimation significantly, the time required is still on the order of hours. Focusing on the fact that the parameter-estimation follow-up can be tuned with the information available at the detection stage, we improve the ROQ technique and develop a new technique, which we designate focused reduced order quadrature (FROQ). We find that FROQ speeds up the parameter estimation by a factor of $\mathcal{O}(10^3)$ to $\mathcal{O}(10^4)$ and enables providing accurate source properties such as the location of a source in several tens of minutes after detection.