利用计数器约束LRG Halo占位分布
Constraining the LRG Halo Occupation Distribution using Counts-in-Cylinders
摘要：
斯隆数字巡天（SDSS）的发光红星系（LRGs）的低数密度表明，占据相同暗物质晕的LRGs可以与占据不同暗物质晕的LRGs对高保真分离。我们提出了一种新的技术，计数器（CiC），约束参数的卫星贡献的LRG晕占领分布（HOD）。对于在0.16 < z < 0.36处的光纤碰撞校正的SDSS光谱LRG子样本，我们发现CiC多重性函数通过晕圈模型拟合，其中质量M的晕圈中的卫星的平均数量为<Nsat（M）> =（（M - Mcut）/M1）^α，Mcut = 5.0 +1.5/-1.3（+2.9/-2.6）X 10^13 Msun，M1 = 4.95 +0.37/-0.26（+0.79/-0.53）× 10^14 Msun，α = 1.035 +0.10/-0.17（+0.24/-0.31），置信水平为68%和95%，使用WMAP 3宇宙学和z=0.2晕目录。我们的方法严格限制了LRG中卫星星系的比例为6.36 + 0.38/-0.39，在95%的置信水平下，组合Mcut/10^{14} Msun + alpha = 1.53 + 0.08/-0.09。我们还发现，模拟的基础上产生的球形过密度（SO）的发现者的光环目录复制测量的CiC多重性函数和投影关联函数，而模拟的基础上的朋友圈（FoF）的光环目录有赤字的密切对在约1 Mpc/h的分离。由于CiC方法依赖于紧密对的高阶统计量，因此它对晕轮查找器的选择是鲁棒的。在一篇配套论文中，我们将应用这种技术来优化上帝之指（FOG）压缩，以消除1-halo对LRG功率谱的贡献。
英文摘要：
The low number density of the Sloan Digital Sky Survey (SDSS) Luminous Red Galaxies (LRGs) suggests that LRGs occupying the same dark matter halo can be separated from pairs occupying distinct dark matter halos with high fidelity. We present a new technique, Counts-in-Cylinders (CiC), to constrain the parameters of the satellite contribution to the LRG Halo-Occupation Distribution (HOD). For a fiber collision-corrected SDSS spectroscopic LRG subsample at 0.16 < z < 0.36, we find the CiC multiplicity function is fit by a halo model where the average number of satellites in a halo of mass M is <Nsat(M)> = ((M - Mcut)/M1)^alpha with Mcut = 5.0 +1.5/-1.3 (+2.9/-2.6) X 10^13 Msun, M1 = 4.95 +0.37/-0.26 (+0.79/-0.53) X 10^14 Msun, and alpha = 1.035 +0.10/-0.17 (+0.24/-0.31) at the 68% and 95% confidence levels using a WMAP3 cosmology and z=0.2 halo catalog. Our method tightly constrains the fraction of LRGs that are satellite galaxies, 6.36 +0.38/-0.39, and the combination Mcut/10^{14} Msun + alpha = 1.53 +0.08/-0.09 at the 95% confidence level. We also find that mocks based on a halo catalog produced by a spherical overdensity (SO) finder reproduce both the measured CiC multiplicity function and the projected correlation function, while mocks based on a Friends-of-Friends (FoF) halo catalog has a deficit of close pairs at ~1 Mpc/h separations. Because the CiC method relies on higher order statistics of close pairs, it is robust to the choice of halo finder. In a companion paper we will apply this technique to optimize Finger-of-God (FOG) compression to eliminate the 1-halo contribution to the LRG power spectrum.
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