Response of the Einstein Telescope to Doppler anisotropies

Chowdhury, Debika; Tasinato, Gianmassimo; Carrasco, Ivonne Zavala

doi:10.1103/physrevd.107.083516

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Response of the Einstein Telescope to Doppler anisotropies

Debika Chowdhury, Gianmassimo Tasinato

, Ivonne Zavala Carrasco

Physical Review D, Volume: 107, Issue: 8

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

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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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spelling	v2 63192 2023-04-18 Response of the Einstein Telescope to Doppler anisotropies c726433050640576f6d649ed6f654826 Debika Chowdhury Debika Chowdhury true false cb754b073d1e4949c5e3db97744d3301 0000-0002-9835-4864 Gianmassimo Tasinato Gianmassimo Tasinato true false 2fb8d4bb665e9a89d3b3478c17f646f8 0000-0002-5589-9928 Ivonne Zavala Carrasco Ivonne Zavala Carrasco true false 2023-04-18 SPH 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. Journal Article Physical Review D 107 8 American Physical Society (APS) 2470-0010 2470-0029 15 4 2023 2023-04-15 10.1103/physrevd.107.083516 http://dx.doi.org/10.1103/physrevd.107.083516 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University Not Required 2023-05-22T12:13:17.4502838 2023-04-18T16:54:07.6421053 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Debika Chowdhury 1 Gianmassimo Tasinato 0000-0002-9835-4864 2 Ivonne Zavala Carrasco 0000-0002-5589-9928 3 63192__27210__97f619b5326a46d48e3402bbbbb21e6d.pdf 63102.pdf 2023-04-26T11:55:05.6692107 Output 596231 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI true eng https://creativecommons.org/licenses/by/4.0/
title	Response of the Einstein Telescope to Doppler anisotropies
spellingShingle	Response of the Einstein Telescope to Doppler anisotropies Debika Chowdhury Gianmassimo Tasinato Ivonne Zavala Carrasco
title_short	Response of the Einstein Telescope to Doppler anisotropies
title_full	Response of the Einstein Telescope to Doppler anisotropies
title_fullStr	Response of the Einstein Telescope to Doppler anisotropies
title_full_unstemmed	Response of the Einstein Telescope to Doppler anisotropies
title_sort	Response of the Einstein Telescope to Doppler anisotropies
author_id_str_mv	c726433050640576f6d649ed6f654826 cb754b073d1e4949c5e3db97744d3301 2fb8d4bb665e9a89d3b3478c17f646f8
author_id_fullname_str_mv	c726433050640576f6d649ed6f654826_*_Debika Chowdhury cb754b073d1e4949c5e3db97744d3301__Gianmassimo Tasinato 2fb8d4bb665e9a89d3b3478c17f646f8_**_Ivonne Zavala Carrasco
author	Debika Chowdhury Gianmassimo Tasinato Ivonne Zavala Carrasco
author2	Debika Chowdhury Gianmassimo Tasinato Ivonne Zavala Carrasco
format	Journal article
container_title	Physical Review D
container_volume	107
container_issue	8
publishDate	2023
institution	Swansea University
issn	2470-0010 2470-0029
doi_str_mv	10.1103/physrevd.107.083516
publisher	American Physical Society (APS)
college_str	Faculty of Science and Engineering
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hierarchy_top_title	Faculty of Science and Engineering
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hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url	http://dx.doi.org/10.1103/physrevd.107.083516
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description	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.
published_date	2023-04-15T12:13:16Z
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score	11.013148

Response of the Einstein Telescope to Doppler anisotropies

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