Dark Matter in 3D
  We discuss the relevance of directional detection experiments in the
post-discovery era and propose a method to extract the local dark matter phase
space distribution from directional data. The first feature of this method is a
parameterization of the dark matter distribution function in terms of integrals
of motion, which can be analytically extended to infer properties of the global
distribution if certain equilibrium conditions hold. The second feature of our
method is a decomposition of the distribution function in moments of a model
independent basis, with minimal reliance on the ansatz for its functional form.
We illustrate our method using the Via Lactea II N-body simulation as well as
an analytical model for the dark matter halo. We conclude that O(1000) events
are necessary to measure deviations from the Standard Halo Model and constrain
or measure the presence of anisotropies.
