暗物质晕质量函数和偏置中的φ ^3型原始非高斯性特征
Signature of primordial non-Gaussianity of phi^3-type in the mass function and bias of dark matter haloes
摘要：
我们探讨了立方修正gnl*phi^3对从一系列大型N体模拟中提取的暗物质晕的质量函数和偏差的影响，并将其与理论预测进行了比较。这种三次项可以在像曲率模型这样的场景中被激发，其中可以产生大的三次校正，同时保持二次fnl* φ ^2校正小。偏离高斯晕质量函数与理论预测是合理的。从晕的自功率谱和互功率谱测量的尺度依赖的偏差校正Δ b_kappa（k，gnl）与fnl模式中的校正类似，但幅度低于理论预期。使用Slosar等人（2008）的LSS数据汇编，我们首次获得gnl的限值为-3.5 10 ^5 < gnl < +8.2 10 ^5（95%CL）。这一限制将随着未来的LSS数据而改善1-2个数量级，这应该测试许多这种类型的场景。
英文摘要：
We explore the effect of a cubic correction gnl*phi^3 on the mass function and bias of dark matter haloes extracted from a series of large N-body simulations and compare it to theoretical predictions. Such cubic terms can be motivated in scenarios like the curvaton model, in which a large cubic correction can be produced while simultaneously keeping the quadratic fnl*phi^2 correction small. The deviation from the Gaussian halo mass function is in reasonable agreement with the theoretical predictions. The scale-dependent bias correction Delta b_kappa(k,gnl) measured from the auto- and cross-power spectrum of haloes, is similar to the correction in fnl models, but the amplitude is lower than theoretical expectations. Using the compilation of LSS data in Slosar et al. (2008), we obtain for the first time a limit on gnl of -3.5*10^5 < gnl < +8.2*10^5 (at 95% CL). This limit will improve with the future LSS data by 1-2 orders of magnitude, which should test many of the scenarios of this type.
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