Constraints on Einstein-dilaton Gauss-Bonnet gravity with Taiji

Weilong Luo (School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou, 310024, China; Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China; University of Chinese Academy of Sciences (UCAS), Beijing, 100049, China) ; Chang Liu (Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, China) ; Zong-Kuan Guo (School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou, 310024, China; School of Physical Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, Beijing, 100049, China; CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China)

In the 2030s, space-based gravitational-wave (GW) detectors will exhibit unprecedented sensitivity in the millihertz frequency band, greatly expanding the potential for testing theories of gravity compared to ground-based GW detectors. Inspired by effective string theory, Einstein-dilaton Gauss–Bonnet (EdGB) gravity introduces an extra dilaton scalar field that is directly coupled to higher curvature terms. Here, we investigate the capability of Taiji to constrain the parameters of EdGB gravity by analyzing GWs from massive black hole binaries (MBHBs). We utilize the parameterized post-Einsteinian (ppE) waveform with the leading order EdGB corrections for the inspiral phase of MBHBs. The constraints on the coupling constants are obtained by performing Fisher matrix analysis. With different mass ratios and spins $$\chi _i$$ χ i at redshifts $$z=2,3,4,5$$ z = 2 , 3 , 4 , 5 , the $$1\sigma $$ 1 σ bounds on the parameter $$\alpha $$ α have the same order of magnitude: $$\sqrt{\alpha }\sim 10^7$$ α 10 7 m.

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      "source": "Springer", 
      "value": "In the 2030s, space-based gravitational-wave (GW) detectors will exhibit unprecedented sensitivity in the millihertz frequency band, greatly expanding the potential for testing theories of gravity compared to ground-based GW detectors. Inspired by effective string theory, Einstein-dilaton Gauss\u2013Bonnet (EdGB) gravity introduces an extra dilaton scalar field that is directly coupled to higher curvature terms. Here, we investigate the capability of Taiji to constrain the parameters of EdGB gravity by analyzing GWs from massive black hole binaries (MBHBs). We utilize the parameterized post-Einsteinian (ppE) waveform with the leading order EdGB corrections for the inspiral phase of MBHBs. The constraints on the coupling constants are obtained by performing Fisher matrix analysis. With different mass ratios and spins  $$\\chi _i$$  <math> <msub> <mi>\u03c7</mi> <mi>i</mi> </msub> </math>   at redshifts  $$z=2,3,4,5$$  <math> <mrow> <mi>z</mi> <mo>=</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo>,</mo> <mn>5</mn> </mrow> </math>  , the  $$1\\sigma $$  <math> <mrow> <mn>1</mn> <mi>\u03c3</mi> </mrow> </math>   bounds on the parameter  $$\\alpha $$  <math> <mi>\u03b1</mi> </math>   have the same order of magnitude:  $$\\sqrt{\\alpha }\\sim 10^7$$  <math> <mrow> <msqrt> <mi>\u03b1</mi> </msqrt> <mo>\u223c</mo> <msup> <mn>10</mn> <mn>7</mn> </msup> </mrow> </math>   m."
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Published on:
14 April 2024
Publisher:
Springer
Published in:
European Physical Journal C , Volume 84 (2024)
Issue 4
Pages 1-6
DOI:
https://doi.org/10.1140/epjc/s10052-024-12735-4
arXiv:
2401.03669
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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