Mass distribution in the core of MACS J1206 - Robust modeling from an exceptionally large sample of central multiple images

G. B. Caminha; C. Grillo; P. Rosati; M. Meneghetti; A. Mercurio; S. Ettori; I. Balestra; A. Biviano; K. Umetsu; E. Vanzella; M. Annunziatella; M. Bonamigo; C. Delgado-Correal; M. Girardi; M. Lombardi; M. Nonino; B. Sartoris; P. Tozzi; M. Bartelmann; L. Bradley; K. I. Caputi; D. Coe; H. Ford; A. Fritz; R. Gobat; M. Postman; S. Seitz; A. Zitrin

doi:10.1051/0004-6361/201731498

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Volume 607 (November 2017)

A&A, 607 (2017) A93

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Table 1

Summary of the best fit models of MACS 1206 and comparison with previous works on other clusters using only spectroscopically confirmed families of multiple images.

Model ID	N. par.	d.o.f.	Δ_rms [′′]		BIC	AIC	Description

P1	10	100	2.04	819	1023	996	One elliptical PIEMD halo, 265 members and external shear
P2	14	96	1.37	394	616	579	Same as P1, but with a second circular PIEMD halo
P3	18	92	0.56	62.6	304	256	Same as P2, but with a third circular PIEMD halo
P3ε	22	88	0.44	41.0	301	242	Same as P3, but ε and θ values of all halos are free to vary (reference)

N3ε	22	85	0.40	33.3	294	235	Same as P3ε, but the central halo is a pseudo-elliptical NFW
G3ε	23	84	0.40	33.3	299	237	Same as P3ε, but the central halo is a pseudo-elliptical gNFW

P4	22	88	0.53	52.4	313	254	Same as P3, but with a fourth circular PIEMD halo
P3εBCG	25	82	0.44	40.0	315	247	Same as P3, but with BCG parameters free to vary

Abell S1063	17	41	0.32	16.8	–	–	Updated model from Caminha et al. (2016a) and Karman et al. (2017)
MACS J0416	26	104	0.59	143	–	–	Model by Caminha et al. (2017)
Abell 2744	30	78	0.67	133	–	–	Model with the “gold constraints” by Mahler et al. (2017)

Notes. Summary of the strong lensing models and their global results. Columns show the model IDs, the number of optimized parameters (N. par.) and degrees of freedom (d.o.f.), the best fit positional Δ_rms, the value of the reference , the Bayesian Information Criterion (Schwarz 1978), the Akaike information criterion (Akaike 1974), and a short description of each model. For the definitions of these quantities, we refer to Caminha et al. (2016a).

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