The Effective Field Theory of Large-Scale Structure (EFTofLSS) provides aconsistent perturbative framework for describing the statistical distributionof cosmological large-scale structure. In a previous EFTofLSS calculation thatinvolved the one-loop power spectra and tree-level bispectra, it was shown thatthe $k$-reach of the prediction for biased tracers is comparable for allinvestigated masses if suitable higher-derivative biases, which are lesssuppressed for more massive tracers, are added. However, it is possible thatthe non-linear biases grow faster with tracer mass than the linear bias,implying that loop contributions could be the leading correction to thebispectra. To check this, we include the one-loop contributions in a fit tonumerical data in the limit of strongly enhanced higher-order biases. We showthat the resulting one-loop power spectra and higher-derivative plus leadingone-loop bispectra fit the two- and three-point functions respectively up to$k\simeq 0.19\ h\ \rm{Mpc}^{-1}$ and $k\simeq 0.14\ h\ \rm{Mpc}^{-1}$ at thepercent level. We find that the higher-order bias coefficients are not stronglyenhanced, and we argue that the gain in perturbative reach due to the leadingone-loop contributions to the bispectra is relatively small. Thus, we concludethat higher-derivative biases provide the leading correction to the bispectrafor tracers of a very wide range of masses.
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机译：大型结构有效场理论（EFTofLSS）为描述宇宙学大型结构的统计分布提供了一致的扰动框架。在先前的EFTofLSS计算中，涉及一环功率谱和树级双谱，表明，如果合适的高导数偏差较大，则对被示踪示踪剂的预测的$ k $范围对于所有研究的质量而言都是可比的，而对于更高的偏差，其抑制较小大量的示踪剂，增加了。但是，示踪剂质量引起的非线性偏差的增长可能快于线性偏差，这表明环路贡献可能是双谱图的主要校正方法。为了检验这一点，我们在对数值数据进行拟合的一环贡献中，强烈限制了高阶偏倚。我们表明，所得的一环功率谱和高阶导数加上前导环双谱分别拟合两点和三点函数，分别高达$ k \ simeq 0.19 \ h \ rm {Mpc} ^ {-1} $ $ k \ simeq 0.14 \ h \ \ rm {Mpc} ^ {-1} $。我们发现，高阶偏置系数并未得到增强，并且我们认为，由于对双谱图的Leadone-loop贡献，扰动范围的增益相对较小。因此，我们得出结论，高导数偏差为质量范围很广的双谱示踪剂提供了领先的校正。
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