Dark matter self-interactions from the internal dynamics of dwarf spheroidals

Spherical Jeans analysis

2013

Cited alongside, same era.

Eventually, the most important part of our statistical analysis consists in the Bayesian fit of the 7-parameter SIDM model on the basis of the log ⁡ ℒ tot \log\mathcal{L}_{\textrm{tot}} discussed above. At the basis of the adopted MCMC algorithm for the present study there is the affine-invariant ensemble sampler algorithm of Goodman & Weare 2010 . We have used the public implementation of it within the package emcee

2013

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Original

2013

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Concentration-mass relation for MW dSphs

2016

Later among the works it cites.

Equipped with such concentration-mass relation, we can estimate the allowed spread on R max R_{\textrm{max}} and V max V_{\textrm{max}} according to the outcome in Vogelsberger et al. 2016 . Varying R max R_{\textrm{max}} for fixed values of V max V_{\textrm{max}} , namely 25, 40, 55 km/s, we end up estimating an overall spread on R max R_{\textrm{max}} of about 0.2 dex in order to span the whole gray band in the right panel of figure 9 in Vogelsberger et al. 2016 . Note that, while our study of the SIDM model importantly depends on the adopted spread and functional form of the concentration-mass relation discussed here, our derivation of the latter may be regarded as “conservative”. Indeed, we are including the spread of the fifteen most massive CDM subhalos as representative of the eight most luminous MW dSph satellites analyzed in our work. Restricting to the spread reported e.g. in Zavala et al. 2013 for the classical satellites (figure 2 of the reference), would have led to a much more restrictive constraint in our analysis and would be translated into a stronger tension for CDM in our inspection of the TBTF problem. In order to stick to what illustrated in Vogelsberger et al. 2016 within a minimal set of assumptions, we do not impose in our study a definite range on V max V_{\textrm{max}} , but rather require V c ​ ( r = 0.5 ​ kpc ) > 19 V_{c}(r=0.5\ \textrm{kpc})>19 km/s, together with 25 km/s < V c ​ ( r = 10 ​ kpc ) < <V_{c}(r=10\ \textrm{kpc})< 60 km/s, consistently with the CDM band in figure 2

2016

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2016

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2017

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2017

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2017

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2017

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2017

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2017

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2018

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