We study the impact of different bias and redshift-space models on the halo power spectrum, quantifying their effect by comparing the fit to a subset of realizations taken from the WizCOLA suite. These provide simulated power spectrum measurements between $k_{\rm min}$ = 0.03 h/Mpc and $k_{\rm max}$ = 0.29 h/Mpc, constructed using the comoving Lagrangian acceleration method. For the bias prescription we include (i) simple linear bias; (ii) the McDonald & Roy model and (iii) its coevolution variant introduced by Saito et al.; and (iv) a very general model including all terms up to one-loop and corrections from advection. For the redshift-space modelling we include the Kaiser formula with exponential damping and the power spectrum provided by (i) tree-level perturbation theory and (ii) the Halofit prescription; (iii) one-loop perturbation theory, also with exponential damping; and (iv) an effective field theory description, also at one-loop, with damping represented by the EFT subtractions. We quantify the improvement from each layer of modelling by measuring the typical improvement in chi-square when fitting to a member of the simulation suite. We attempt to detect overfitting by testing for compatibility between the best-fit power spectrum per realization and the best-fit over the entire WizCOLA suite. For both bias and the redshift-space map we find that increasingly permissive models yield improvements in chi-square but with diminishing returns. The most permissive models show modest evidence for overfitting. Accounting for model complexity using the Bayesian Information Criterion, we argue that standard perturbation theory up to one-loop, or a related model such as that of Taruya, Nishimichi & Saito, coupled to the coevolution bias model, is likely to provide a good compromise for near-future galaxy surveys operating with comparable $k_{\rm max}$.

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偏置和红移空间建模对晕功率谱的影响：检验大尺度结构的有效场理论

我们研究了不同偏置和红移空间模型对光晕功率谱的影响，通过将拟合与从 WizCOLA 套件中获取的实现子集进行比较来量化它们的影响。这些提供了 $k_{\rm min}$ = 0.03 h/Mpc 和 $k_{\rm max}$ = 0.29 h/Mpc 之间的模拟功率谱测量，使用协移动拉格朗日加速度方法构建。对于偏差规定，我们包括（i）简单的线性偏差；(ii) McDonald & Roy 模型和 (iii) Saito 等人引入的协同进化变体；(iv) 一个非常通用的模型，包括直到一个循环的所有项和对流的修正。对于红移空间建模，我们包括具有指数阻尼的 Kaiser 公式和由 (i) 树级扰动理论和 (ii) Halofit 处方提供的功率谱；(iii) 单环微扰理论，还具有指数阻尼；(iv) 一个有效的场论描述，也是在一个循环中，阻尼由 EFT 减法表示。我们通过测量拟合模拟套件成员时卡方的典型改进来量化每一层建模的改进。我们试图通过测试每个实现的最佳拟合功率谱与整个 WizCOLA 套件的最佳拟合之间的兼容性来检测过度拟合。对于偏差和红移空间图，我们发现越来越宽松的模型会在卡方方面产生改进，但收益递减。最宽松的模型显示了过度拟合的适度证据。考虑到使用贝叶斯信息准则的模型复杂性，我们认为标准微扰理论高达一个循环，或相关模型，例如 Taruya，