Dark Matter Direct Detection with Non-Maxwellian Velocity Structure

Michael Kuhlen (), Neil Weiner (), Jürg Diemand, Piero Madau, Ben Moore, Doug Potter, Marcel Zemp
submitted to JCAP, arXiv/0912.2358



Below you can download ascii tables of , where f(v) is the velocity modulus distribution in the Earth rest frame (normalized to unity), and N(vmin), the cumulative number of particles with velocity modulus exceeding vmin. g(vmin) and N(vmin) are provided at 12 equally spaced times (g00 - g11), tracing out the annual modulation arising from Earth's orbit around the Sun. The format is as follows:

# Via Lactea II - spherical shell sample - g(v_min)
# 
# v_min         g00         g01   ...         g11 
# [km/s]  [(km/s)^-1] 
# 
  0.0     4.095e-03   4.073e-03   ...   4.072e-03
  1.0     4.095e-03   4.072e-03   ...   4.072e-03
  .           .           .                    .
  .           .           .                    . 
  .           .           .                    .
650.0     9.325e-06   8.777e-06   ...   8.951e-06
651.0     9.009e-06   8.544e-06   ...   8.579e-06
  .           .           .                    .
  .           .           .                    .
  .           .           .                    .
998.0     0.000e+00   0.000e+00   ...   0.000e+00
999.0     0.000e+00   0.000e+00   ...   0.000e+00
# Via Lactea II - spherical shell sample - N(v_min)
#
# v_min         N00         N01   ...         N11
# [km/s]
#
  0.0       2117320     2117320   ...     2117320
  1.0       2117320     2117319   ...     2117320
  .           .           .                    . 
  .           .           .                    . 
  .           .           .                    . 
650.0         13290       12503   ...       12751
651.0         12856       12187   ...       12234
  .           .           .                    . 
  .           .           .                    . 
  .           .           .                    . 
998.0             0           0   ...           0
999.0             0           0   ...           0

[g00/N00 corresponds to the peak of the modulation, i.e. June 2nd for a Maxwell-Boltzmann distribution.]

We provide tables for the VL2, GHALO, and GHALOs simulations. (See the paper and references therein for details on the simulations.) Additionally we provide tables for a case where we scaled the velocities of the particles to give v0=220 km/s, where v0 is the peak of halo rest frame f(v) (i.e. the most probable speed). The velocity scaling factor is fv = 1.1875 for VL2 and GHALOs and 1.5556 for GHALO. An escape velocity cutoff of vesc=550 km/s was applied. Note that we did not use these scaled distributions in our analysis, because we found that a lot of the interesting structure was pushed to beyond the escape velocity.

For each simulation, we provide one table for the spherical shell average (all particles with 8 kpc < r < 9 kpc), a tarball containing tables for all 100 sample spheres, and a smaller tarball containing 10 DAMA-favorable sample spheres (i.e. spheres lying in the lower left corner of Fig.8).

VL2

original (everything_VL2.tar.gz) scaled to v0=220 km/s (everything_VL2_220.tar.gz)
Vmax = 201.3 km/s
Vcirc(R) = 158.1 km/s
V0 = 185.3 km/s
Vmax = 201.3 km/s
Vcirc(R) = 158.1 km/s
V0 = 220.0 km/s
spherical shell sample:   gvmin_VL2_shell.txt spherical shell sample:   gvmin_VL2_220_shell.txt
Nvmin_VL2_shell.txt Nvmin_VL2_220_shell.txt
all spheres:   gvmin_VL2_spheres.tar.gz all spheres:   gvmin_VL2_220_spheres.tar.gz
Nvmin_VL2_spheres.tar.gz Nvmin_VL2_220_spheres.tar.gz
favorable spheres:   gvmin_VL2_fav.tar.gz favorable spheres:   gvmin_VL2_220_fav.tar.gz
Nvmin_VL2_fav.tar.gz Nvmin_VL2_220_fav.tar.gz

GHALO

original (everything_ghalo.tar.gz) scaled to v0=220 km/s (everything_ghalo_220.tar.gz)
Vmax = 151.5 km/s
Vcirc(R) = 121.7 km/s
V0 = 141.4 km/s
Vmax = 151.5 km/s
Vcirc(R) = 121.7 km/s
V0 = 220.0 km/s
spherical shell sample:   gvmin_ghalo_shell.txt spherical shell sample:   gvmin_ghalo_220_shell.txt
Nvmin_ghalo_shell.txt Nvmin_ghalo_220_shell.txt
all spheres:   gvmin_ghalo_spheres.tar.gz all spheres:   gvmin_ghalo_220_spheres.tar.gz
Nvmin_ghalo_spheres.tar.gz Nvmin_ghalo_220_spheres.tar.gz
favorable spheres:   gvmin_ghalo_fav.tar.gz favorable spheres:   gvmin_ghalo_220_fav.tar.gz
Nvmin_ghalo_fav.tar.gz Nvmin_ghalo_220_fav.tar.gz

GHALOs

original (everything_ghalo_scaled.tar.gz) scaled to v0=220 km/s (everything_ghalo_scaled_220.tar.gz)
Vmax = 201.3 km/s
Vcirc(R) = 148.9 km/s
V0 = 187.9 km/s
Vmax = 201.3 km/s
Vcirc(R) = 148.9 km/s
V0 = 220.0 km/s
spherical shell sample:   gvmin_ghalo_scaled_shell.txt spherical shell sample:   gvmin_ghalo_scaled_220_shell.txt
Nvmin_ghalo_scaled_shell.txt Nvmin_ghalo_scaled_220_shell.txt
all spheres:   gvmin_ghalo_scaled_spheres.tar.gz all spheres:   gvmin_ghalo_scaled_220_spheres.tar.gz
Nvmin_ghalo_scaled_spheres.tar.gz Nvmin_ghalo_scaled_220_spheres.tar.gz
favorable spheres:   gvmin_ghalo_scaled_fav.tar.gz favorable spheres:   gvmin_ghalo_scaled_220_fav.tar.gz
Nvmin_ghalo_scaled_fav.tar.gz Nvmin_ghalo_scaled_220_fav.tar.gz

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