A novel JEAnS analysis of the Fornax dwarf using evolutionary algorithms: mass follows light with signs of an off-centre merger

Foivos Diakogiannis, Geraint F. Lewis, Rodrigo A. Ibata, Magda Guglielmo, Prajwal R. Kafle, Mark I. Wilkinson, Chris Power

Research output: Contribution to journalArticle

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Abstract

Dwarf galaxies, among the most dark matter dominated structures of our universe, are excellent test-beds for dark matter theories. Unfortunately, mass modelling of these systems suffers from the well documented mass-velocity anisotropy degeneracy. For the case of spherically symmetric systems, we describe a method for non-parametric modelling of the radial and tangential velocity moments. The method is a numerical velocity anisotropy “inversion”, with parametric mass models, where the radial velocity dispersion profile, σ 2 rr σrr2 is modeled as a B-spline, and the optimization is a three step process that consists of: (i) an Evolutionary modelling to determine the mass model form and the best B-spline basis to represent σ 2 rr σrr2 ; (ii) an optimization of the smoothing parameters; (iii) a Markov chain Monte Carlo analysis to determine the physical parameters. The mass-anisotropy degeneracy is reduced into mass model inference, irrespective of kinematics. We test our method using synthetic data. Our algorithm constructs the best kinematic profile and discriminates between competing dark matter models. We apply our method to the Fornax dwarf spheroidal galaxy. Using a King brightness profile and testing various dark matter mass models, our model inference favours a simple mass-follows-light system. We find that the anisotropy profile of Fornax is tangential (β(r) < 0) and we estimate a total mass of M tot =1.613 +0.050 −0.075 ×10 8 M ⊙ Mtot=1.613−0.075+0.050×108M⊙ , and a mass-to-light ratio of Υ V =8.93 +0.32 −0.47 (M ⊙ /L ⊙ ) ΥV=8.93−0.47+0.32(M⊙/L⊙). The algorithm we present is a robust and computationally inexpensive method for non-parametric modelling of spherical clusters independent of the mass-anisotropy degeneracy.
LanguageEnglish
Pages2034-2053
Number of pages20
JournalMonthly Notices of the Royal Astronomical Society
Volume470
Issue number2
DOIs
StatePublished - 11 Sep 2017

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merger
anisotropy
dark matter
splines
dwarf galaxies
profiles
inference
radial velocity
modeling
kinematics
analysis
mass to light ratios
optimization
Monte Carlo analysis
Markov chains
test stands
smoothing
Markov chain
brightness
universe

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Diakogiannis, Foivos ; Lewis, Geraint F. ; Ibata, Rodrigo A. ; Guglielmo, Magda ; Kafle, Prajwal R. ; Wilkinson, Mark I. ; Power, Chris. / A novel JEAnS analysis of the Fornax dwarf using evolutionary algorithms : mass follows light with signs of an off-centre merger. In: Monthly Notices of the Royal Astronomical Society. 2017 ; Vol. 470, No. 2. pp. 2034-2053
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abstract = "Dwarf galaxies, among the most dark matter dominated structures of our universe, are excellent test-beds for dark matter theories. Unfortunately, mass modelling of these systems suffers from the well documented mass-velocity anisotropy degeneracy. For the case of spherically symmetric systems, we describe a method for non-parametric modelling of the radial and tangential velocity moments. The method is a numerical velocity anisotropy “inversion”, with parametric mass models, where the radial velocity dispersion profile, σ 2 rr σrr2 is modeled as a B-spline, and the optimization is a three step process that consists of: (i) an Evolutionary modelling to determine the mass model form and the best B-spline basis to represent σ 2 rr σrr2 ; (ii) an optimization of the smoothing parameters; (iii) a Markov chain Monte Carlo analysis to determine the physical parameters. The mass-anisotropy degeneracy is reduced into mass model inference, irrespective of kinematics. We test our method using synthetic data. Our algorithm constructs the best kinematic profile and discriminates between competing dark matter models. We apply our method to the Fornax dwarf spheroidal galaxy. Using a King brightness profile and testing various dark matter mass models, our model inference favours a simple mass-follows-light system. We find that the anisotropy profile of Fornax is tangential (β(r) < 0) and we estimate a total mass of M tot =1.613 +0.050 −0.075 ×10 8 M ⊙ Mtot=1.613−0.075+0.050×108M⊙ , and a mass-to-light ratio of Υ V =8.93 +0.32 −0.47 (M ⊙ /L ⊙ ) ΥV=8.93−0.47+0.32(M⊙/L⊙). The algorithm we present is a robust and computationally inexpensive method for non-parametric modelling of spherical clusters independent of the mass-anisotropy degeneracy.",
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A novel JEAnS analysis of the Fornax dwarf using evolutionary algorithms : mass follows light with signs of an off-centre merger. / Diakogiannis, Foivos; Lewis, Geraint F.; Ibata, Rodrigo A.; Guglielmo, Magda; Kafle, Prajwal R.; Wilkinson, Mark I.; Power, Chris.

In: Monthly Notices of the Royal Astronomical Society, Vol. 470, No. 2, 11.09.2017, p. 2034-2053.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A novel JEAnS analysis of the Fornax dwarf using evolutionary algorithms

T2 - Monthly Notices of the Royal Astronomical Society

AU - Diakogiannis,Foivos

AU - Lewis,Geraint F.

AU - Ibata,Rodrigo A.

AU - Guglielmo,Magda

AU - Kafle,Prajwal R.

AU - Wilkinson,Mark I.

AU - Power,Chris

PY - 2017/9/11

Y1 - 2017/9/11

N2 - Dwarf galaxies, among the most dark matter dominated structures of our universe, are excellent test-beds for dark matter theories. Unfortunately, mass modelling of these systems suffers from the well documented mass-velocity anisotropy degeneracy. For the case of spherically symmetric systems, we describe a method for non-parametric modelling of the radial and tangential velocity moments. The method is a numerical velocity anisotropy “inversion”, with parametric mass models, where the radial velocity dispersion profile, σ 2 rr σrr2 is modeled as a B-spline, and the optimization is a three step process that consists of: (i) an Evolutionary modelling to determine the mass model form and the best B-spline basis to represent σ 2 rr σrr2 ; (ii) an optimization of the smoothing parameters; (iii) a Markov chain Monte Carlo analysis to determine the physical parameters. The mass-anisotropy degeneracy is reduced into mass model inference, irrespective of kinematics. We test our method using synthetic data. Our algorithm constructs the best kinematic profile and discriminates between competing dark matter models. We apply our method to the Fornax dwarf spheroidal galaxy. Using a King brightness profile and testing various dark matter mass models, our model inference favours a simple mass-follows-light system. We find that the anisotropy profile of Fornax is tangential (β(r) < 0) and we estimate a total mass of M tot =1.613 +0.050 −0.075 ×10 8 M ⊙ Mtot=1.613−0.075+0.050×108M⊙ , and a mass-to-light ratio of Υ V =8.93 +0.32 −0.47 (M ⊙ /L ⊙ ) ΥV=8.93−0.47+0.32(M⊙/L⊙). The algorithm we present is a robust and computationally inexpensive method for non-parametric modelling of spherical clusters independent of the mass-anisotropy degeneracy.

AB - Dwarf galaxies, among the most dark matter dominated structures of our universe, are excellent test-beds for dark matter theories. Unfortunately, mass modelling of these systems suffers from the well documented mass-velocity anisotropy degeneracy. For the case of spherically symmetric systems, we describe a method for non-parametric modelling of the radial and tangential velocity moments. The method is a numerical velocity anisotropy “inversion”, with parametric mass models, where the radial velocity dispersion profile, σ 2 rr σrr2 is modeled as a B-spline, and the optimization is a three step process that consists of: (i) an Evolutionary modelling to determine the mass model form and the best B-spline basis to represent σ 2 rr σrr2 ; (ii) an optimization of the smoothing parameters; (iii) a Markov chain Monte Carlo analysis to determine the physical parameters. The mass-anisotropy degeneracy is reduced into mass model inference, irrespective of kinematics. We test our method using synthetic data. Our algorithm constructs the best kinematic profile and discriminates between competing dark matter models. We apply our method to the Fornax dwarf spheroidal galaxy. Using a King brightness profile and testing various dark matter mass models, our model inference favours a simple mass-follows-light system. We find that the anisotropy profile of Fornax is tangential (β(r) < 0) and we estimate a total mass of M tot =1.613 +0.050 −0.075 ×10 8 M ⊙ Mtot=1.613−0.075+0.050×108M⊙ , and a mass-to-light ratio of Υ V =8.93 +0.32 −0.47 (M ⊙ /L ⊙ ) ΥV=8.93−0.47+0.32(M⊙/L⊙). The algorithm we present is a robust and computationally inexpensive method for non-parametric modelling of spherical clusters independent of the mass-anisotropy degeneracy.

U2 - 10.1093/mnras/stx1219

DO - 10.1093/mnras/stx1219

M3 - Article

VL - 470

SP - 2034

EP - 2053

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 2

ER -