Galaxy rotation curves using a non-parametric regression method: core, cusp and fuzzy scalar field dark matter models

Understand

We present a non-parametric reconstruction of the rotation curves (RC) for 88 spiral galaxies under the LOESS+SIMEX technique.

• In order to compare methods we also perform the parametric approach assuming core and cuspy dark matter (DM) profiles: PISO, NFW, Burkert, Spano, the soliton and two fuzzy soliton$+$NFW.
• As result of this two approaches, a comparison of the RC obtained is carried out by computing the distance between central curves and the distance between 1$\sigma$ error bands.
• Furthermore, we perform a model selection according to two statistical criteria, the BIC and the value of $\chi^2_{red}$.