Extended parameterized spin expansion formalism for ringdown analysis with GW250114
Abstract
Parameterized descriptions of black-hole quasinormal-mode spectra are essential for testing gravity with ringdown observations. We extend the Parameterized Spin Expansion Coefficients (ParSpec) formalism by simultaneously sampling the characteristic length scale ℓ̃ and the scaling index p̃, rather than fixing p̃ to a theory-motivated integer and constraining ℓ̃. Physically, this extension promotes the scaling of the spectral corrections coming from higher-curvature operators to an observable quantity. Methodologically, it enables us to investigate the enlarged ParSpec parameter space and identify the prior geometry induced by conditions on the effective coupling γ. We examine the robustness of the framework by using the $220$ and 220+221 ringdown models over different start times with informative priors on mass and luminosity for GW250114, and further study a joint constraint with GW231123. We pointed out that γ<1 avoids an artificial correlation between p̃ and ℓ̃ among the coupling prescriptions considered, and the choices of ringdown starting time and QNM mode content in the ParSpec framework should be matched to the information content and resolving power of the data. Higher-SNR ringdowns and hierarchical analyses of a larger event population will be required to break the p̃-ℓ̃ degeneracy and directly probe the scaling structure of corrections to GR.
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BibTeX
@misc{chen2026extended,
title = {{Extended parameterized spin expansion formalism for ringdown analysis with GW250114}},
author = {Jia-Ning Chen and Liang-Bi Wu and Zong-Kuan Guo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.22580},
eprint = {2606.22580},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.22580},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Extended parameterized spin expansion formalism for ringdown analysis with GW250114
AU - Jia-Ning Chen
AU - Liang-Bi Wu
AU - Zong-Kuan Guo
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2606.22580
UR - https://arxiv.org/abs/2606.22580
AB - Parameterized descriptions of black-hole quasinormal-mode spectra are essential for testing gravity with ringdown observations. We extend the Parameterized Spin Expansion Coefficients (ParSpec) formalism by simultaneously sampling the characteristic length scale ℓ̃ and the scaling index p̃, rather than fixing p̃ to a theory-motivated integer and constraining ℓ̃. Physically, this extension promotes the scaling of the spectral corrections coming from higher-curvature operators to an observable quantity. Methodologically, it enables us to investigate the enlarged ParSpec parameter space and identify the prior geometry induced by conditions on the effective coupling γ. We examine the robustness of the framework by using the $220$ and 220+221 ringdown models over different start times with informative priors on mass and luminosity for GW250114, and further study a joint constraint with GW231123. We pointed out that γ<1 avoids an artificial correlation between p̃ and ℓ̃ among the coupling prescriptions considered, and the choices of ringdown starting time and QNM mode content in the ParSpec framework should be matched to the information content and resolving power of the data. Higher-SNR ringdowns and hierarchical analyses of a larger event population will be required to break the p̃-ℓ̃ degeneracy and directly probe the scaling structure of corrections to GR.
ER -