Asymmetric mass models of disk galaxies - I. Messier 99

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Table D.2

Comparisons between the various mass models: halo vs. halo, axisymmetric vs. asymmetric cases, with vs. without the v_R component, and centered- vs. shifted-halo.

	AIC_NFW−AIC_EIN			AIC_PIS−AIC_EIN			AIC_NFW−AIC_PIS

Centered-halo	1D	2D	2D+v_R	1D	2D	2D+v_R	1D	2D	2D+v_R

Axisymmetric case	0.24	0.13	0.12	1.5	0.54	0.55	–0.81	–0.42	–0.43
Asymmetric case	–	0.13	0.01	–	0.33	0.24	–	-0.21	–0.22

Shifted-halo	–	2D	2D+v_R	–	2D	2D+v_R	–	2D	2D+v_R

Axisymmetric case	–	1.90	2.46	–	0.34	0.63	–	1.56	1.83
Asymmetric case	–	2.20	2.69	–	0.42	0.67	–	1.79	2.02

AIC_Axi.−AIC_Asym.			AIC_2D−AIC_{2D + v_R}		AIC_{Centered−halo}−AIC_{Shifted−halo}

EIN	2D	2D+v_R	Axi.	Asym.		Axi.	Asym.
Centered-halo	1.62	0.72	6.19	5.30	2D	5.77	6.11
Shifted-halo	1.96	1.02	7.74	6.79	2D+v_R	7.31	7.60

NFW	2D	2D+v_R	Axi.	Asym.		Axi.	Asym.
Centered-halo	1.62	0.71	6.20	5.30	2D	3.99	4.03
Shifted-halo	1.66	0.78	7.17	6.30	2D+v_R	4.96	5.03

PIS	2D	2D+v_R	Axi.	Asym.		Axi.	Asym.
Centered-halo	1.83	0.92	6.19	5.28	2D	5.97	6.02
Shifted-halo	1.88	0.97	7.45	6.54	2D+v_R	7.23	7.28

Notes. The numbers are the differences of the Akaike Information Criterion (AIC) for each configuration of mass model. A positive difference AIC_Model1−AIC_Model2 means that Model2 is more likely than Model1. Differences of the AIC have been normalized to 10⁵.

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