Update on the Halo-independent Comparison of Direct Dark Matter Detection Data

We briefly review the halo-independent formalism, that allows to compare data from different direct dark matter de- tection experiments without making assumptions on the properties of the dark matter halo. We apply this method to spin-independent WIMP-nuclei interactions, for both isospin-conserving and isospin-violating couplings, updating the existing analyses with the addition of the SuperCDMS bound. We point out that this method can be applied to any type of WIMP interaction.