论文标题
具有全职和规模依赖性和EFT校正的两环功率谱：大规模中微子的影响并超越了EDS
Two-loop power spectrum with full time- and scale-dependence and EFT corrections: impact of massive neutrinos and going beyond EdS
论文作者
论文摘要
我们考虑了近来中微子扰动的时间和规模依赖性生长的效果，以及从爱因斯坦 - de-sitter（EDS）动力学的偏离时，我们计算了近代和尺度依赖性生长的效果，计算了近代和尺度依赖性的生长的效果。我们通过与不包括在内的通常采用的近似处理进行比较来确定这些影响的影响。对于裸露的冷暗物质（CDM）+BARYON光谱，我们发现$ k \ gtrsim 0.17H〜 \ mathrm {mpc}^{ - 1} $的百分比偏差，这主要是由于从ED出发的原因。对于速度和交叉功率谱，主要差异是由于时间和规模依赖性在存在大量中微子的情况下产生的，其产量百分比偏离$ k \ simeq 0.08，0.13，0.16h〜 \ m artrm {mpc}^{-1} $ for $ \ \ summ_ν= 0.4，0.4，0.2，0.1 $ nive，我们使用有效的现场理论（EFT）框架在两回路上有效，对Wavenumbers $ k \ gg k _ {\ mathrm {fs}} $，其中$ k _ {\ mathrm {fs}} $是中微子免费流式流程量表。与Quijote n-boty模拟相比，我们发现，对于CDM+Baryon密度谱，中微子扰动的效果和晚期的时间依赖性动态可以通过一环EFT反式的转移来解释，$δ\barγ_1\barγ_1\ simeq-simeq-simeq-0.2〜 \ simeq-0.2〜 \ mathrm {mpc^2 $ {2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2^2/我们发现扰动和n型结果之间的百分比达成共识，最高$ k \ Lessim 0.12H〜 \ Mathrm {mpc}^{ - 1} $和$ k \ simsim 0.16H〜 \ mathrm {mpc} {mpc} { - 1} $ in Neutq in Neutq for subse in Neutq for subse $ sums $ sums $ sums $ sullino， 0.4〜 \ mathrm {ev} $。
We compute the density and velocity power spectra at next-to-next-to-leading order taking into account the effect of time- and scale-dependent growth of massive neutrino perturbations as well as the departure from Einstein--de-Sitter (EdS) dynamics at late times non-linearly. We determine the impact of these effects by comparing to the commonly adopted approximate treatment where they are not included. For the bare cold dark matter (CDM)+baryon spectrum, we find percent deviations for $k\gtrsim 0.17h~\mathrm{Mpc}^{-1}$, mainly due to the departure from EdS. For the velocity and cross power spectrum the main difference arises due to time- and scale-dependence in presence of massive neutrinos yielding percent deviation above $k\simeq 0.08, 0.13, 0.16h~\mathrm{Mpc}^{-1}$ for $\sum m_ν = 0.4, 0.2, 0.1~\mathrm{eV}$, respectively. We use an effective field theory (EFT) framework at two-loop valid for wavenumbers $k \gg k_{\mathrm{FS}}$, where $k_{\mathrm{FS}}$ is the neutrino free-streaming scale. Comparing to Quijote N-body simulations, we find that for the CDM+baryon density power spectrum the effect of neutrino perturbations and exact time-dependent dynamics at late times can be accounted for by a shift in the one-loop EFT counterterm, $Δ\barγ_1 \simeq - 0.2~\mathrm{Mpc}^2/h^2$. We find percent agreement between the perturbative and N-body results up to $k\lesssim 0.12h~\mathrm{Mpc}^{-1}$ and $k\lesssim 0.16h~\mathrm{Mpc}^{-1}$ at one- and two-loop order, respectively, for all considered neutrino masses $\sum m_ν \leq 0.4~\mathrm{eV}$.
