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Response of the Einstein Telescope to Doppler anisotropies

Debika Chowdhury, Gianmassimo Tasinato Orcid Logo, Ivonne Zavala Carrasco Orcid Logo

Physical Review D, Volume: 107, Issue: 8

Swansea University Authors: Debika Chowdhury, Gianmassimo Tasinato Orcid Logo, Ivonne Zavala Carrasco Orcid Logo

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DOI (Published version): 10.1103/physrevd.107.083516

Abstract

We study the response function of the Einstein Telescope to kinematic Doppler anisotropies, which represent one of the guaranteed properties of the stochastic gravitational wave background. If the frequency dependence of the stochastic background changes slope within the detector frequency band, the...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa63192
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Abstract: We study the response function of the Einstein Telescope to kinematic Doppler anisotropies, which represent one of the guaranteed properties of the stochastic gravitational wave background. If the frequency dependence of the stochastic background changes slope within the detector frequency band, the Doppler anisotropic contribution to the signal can not be factorized in a part depending on frequency, and a part depending on direction. For the first time, we study the detector response function to Doppler anisotropies without making any factorizable Ansatz. Moreover, we do not assume that kinematic effects are small, and we derive general formulas valid for any relative velocity among frames. We apply our findings to three well-motivated examples of background profiles; power-law, broken power-law, and models with a resonance motivated by primordial black hole scenarios. We derive the signal-to-noise ratio associated with an optimal estimator for the detection of nonfactorizable kinematic anisotropies, and we study it for representative examples.
College: Faculty of Science and Engineering
Issue: 8

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