A statistical investigation of the mass discrepancy–acceleration relation

Desmond, Harry

doi:10.1093/mnras/stw2571

Title: A statistical investigation of the mass discrepancy–acceleration relation

Journal Article · Sat Oct 08 00:00:00 EDT 2016 · Monthly Notices of the Royal Astronomical Society

DOI:https://doi.org/10.1093/mnras/stw2571· OSTI ID:1353108

Desmond, Harry ^[1]

Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology and Physics Dept.; SLAC National Accelerator Lab., Menlo Park, CA (United States)

We use the mass discrepancy–acceleration relation (the correlation between the ratio of total-to-visible mass and acceleration in galaxies; MDAR) to test the galaxy–halo connection. Here, we analyse the MDAR using a set of 16 statistics that quantify its four most important features: shape, scatter, the presence of a ‘characteristic acceleration scale’, and the correlation of its residuals with other galaxy properties. We construct an empirical framework for the galaxy–halo connection in LCDM to generate predictions for these statistics, starting with conventional correlations (halo abundance matching; AM) and introducing more where required. Comparing to the SPARC data, we find that: (1) the approximate shape of the MDAR is readily reproduced by AM, and there is no evidence that the acceleration at which dark matter becomes negligible has less spread in the data than in AM mocks; (2) even under conservative assumptions, AM significantly overpredicts the scatter in the relation and its normalization at low acceleration, and furthermore positions dark matter too close to galaxies’ centres on average; (3) the MDAR affords 2σ evidence for an anticorrelation of galaxy size and Hubble type with halo mass or concentration at fixed stellar mass. Lastly, our analysis lays the groundwork for a bottom-up determination of the galaxy–halo connection from relations such as the MDAR, provides concrete statistical tests for specific galaxy formation models, and brings into sharper focus the relative evidence accorded by galaxy kinematics to LCDM and modified gravity alternatives.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1353108

Journal Information:: Monthly Notices of the Royal Astronomical Society, Vol. 464, Issue 4; ISSN 0035-8711

Publisher:: Royal Astronomical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 72 works

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The radial acceleration relation is a natural consequence of the baryonic Tully-Fisher relation Wheeler, Coral; Hopkins, Philip F.; Doré, Olivier arXiv https://doi.org/10.48550/arxiv.1803.01849	text	January 2018
A Test of MONDian Gravity in $\sim$300 pressure supported elliptical galaxies from the MaNGA survey Durazo, R.; Hernandez, X.; Sodi, B. Cervantes arXiv https://doi.org/10.48550/arxiv.1804.01581	text	January 2018
Dark matter-baryon scaling relations from Einasto halo fits to SPARC galaxy rotation curves Ghari, Amir; Famaey, Benoit; Laporte, Chervin arXiv https://doi.org/10.48550/arxiv.1811.06554	text	January 2018
A new line on the wide binary test of gravity Banik, Indranil arXiv https://doi.org/10.48550/arxiv.1902.01857	text	January 2019
Directly testing gravity with Proxima Centauri Banik, Indranil; Kroupa, Pavel arXiv https://doi.org/10.48550/arxiv.1906.08264	text	January 2019
The radial acceleration relation and dark baryons in MOND Ghari, Amir; Haghi, Hosein; Zonoozi, Akram Hasani arXiv https://doi.org/10.48550/arxiv.1907.01564	text	January 2019
Halo Acceleration Relation Tian, Yong; Ko, Chung-Ming arXiv https://doi.org/10.48550/arxiv.1907.04501	text	January 2019

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