Preprint
Restoration of the Tully-Fisher Relation by Statistical Rectification
ArXiv.org
Cornell University
01/24/2024
DOI: 10.48550/arxiv.2401.13738
Abstract
I employ the Lucy rectification algorithm to recover the inclination-corrected distribution of local disk galaxies in the plane of absolute magnitude (Mi) and \HI\ velocity width (W20). By considering the inclination angle as a random variable with a known probability distribution, the novel approach eliminates one major source of uncertainty in studies of the Tully-Fisher relation: inclination angle estimation from axial ratio. Leveraging the statistical strength derived from the entire sample of 28,264 \HI-selected disk galaxies at z<0.06 from the Arecibo Legacy Fast ALFA (ALFALFA) survey, I show that the restored distribution follows a sharp correlation that is approximately a power law between −16>Mi>−22: Mi=M0−2.5β [log(W20/250km/s)], with M0=−19.77±0.04 and β=4.39±0.06. At the brighter end (Mi<−22), the slope of the correlation decreases to β≈3.3, confirming previous results. Because the method accounts for measurement errors, the intrinsic dispersion of the correlation is directly measured: σ(logW20)≈0.06\,dex between −17>Mi>−23, while σ(Mi) decreases from ∼0.8 in slow rotators to ∼0.4 in fast rotators. The statistical rectification method holds significant potential, especially in the studies of intermediate-to-high-redshift samples, where limited spatial resolution hinders precise measurements of inclination angles.
Details
- Title: Subtitle
- Restoration of the Tully-Fisher Relation by Statistical Rectification
- Creators
- Hai Fu
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- DOI
- 10.48550/arxiv.2401.13738
- ISSN
- 2331-8422
- Publisher
- Cornell University; Ithaca, New York
- Language
- English
- Date posted
- 01/24/2024
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984548849902771
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