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Table 1
Shape and mass definitions.
| Symbol | Definition |
|---|---|
| IFoF | Shape computed from the particles belonging to the Friends-of-Friends groups. The FoF groups in this article are composed of all particles that have at least one neighbor particle closer than a linking-length of 0.16 times the mean inter-particle separation. |
| I200,b, M200,b | Once defined r200,b, the distance from the halo center at which the average enclosed density is 200 times the mean density of the Universe. We compute the halo shape or mass by considering all particles such that r < r200,b. The halo center is defined to be the minimum of the local gravitational potential. |
| I200,c | Same as above but for r200,c, defined as the radius at which the average enclosed density is 200 times the critical density of the Universe ρc = 3H2/8πG. |
| I500,c | Same as above but for r500,c, defined as the radius at which the average enclosed density is 500 times the critical density of the Universe. |
Notes. Shape and mass definitions employed throughout this article. We employed the non-reduced FoF shape definition for all the results except when comparing the effect of these shape definitions on the resulting shape-bias parameters (Fig. 3).
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