论文标题

二次偏见对宇宙剪切的影响

The Impact of Quadratic Biases on Cosmic Shear

论文作者

Kitching, T. D., Deshpande, A. C.

论文摘要

在本文中,我们重新审视了由偏压术语引起的宇宙剪切功率光谱的潜在偏见,该术语乘以剪切的二次力量。将乘法偏置字段扩展为一系列独立的旋转-S $字段,我们找到了剪切的$ m_s $ $ m_s $。我们将这些偏见传播成形状的测量统计和宇宙剪切功率谱。我们发现,可以通过对校准数据进行回归来测量此类偏差。我们发现,对于剪切的整数力量,二次顺序术语对功率谱的影响是额外的双光谱依赖性。忽略二次术语可能会导致最高$ 2(M_2+M _ { - 2} -M_6)0.4σ$的宇宙学参数的偏见,用于IV阶段的暗能量实验,但是可以通过使用方法来消除小规模敏感性来降低对它们的易感性。我们还发现,对于剪切的一半力量,对于阶段IV实验,必须知道偏差要比大约$σ[M_0+15(M_1+M_3)+0.1(M_ { - 1}+M_5)] \ leq 0.01 $。将来,IV阶段的黑暗能源实验应试图衡量和最大程度地减少所有此类偏见术语。

In this paper we revisit potential biases in cosmic shear power spectra caused by bias terms that multiply up to quadratic powers of the shear. Expanding the multiplicative bias field as a series of independent spin-$s$ fields we find terms $m_s$ that multiply integer and half-integer powers of the shear. We propagate these biases into shape measurement statistics and the cosmic shear power spectrum. We find that such biases can be measured by performing regression on calibration data. We find that for integer powers of shear the impact of quadratic order terms on the power spectrum is an additional bispectrum dependency; ignoring quadratic terms can lead to biases in cosmological parameters of up to $2(m_2+m_{-2}-m_6)0.4σ$ for Stage-IV dark energy experiments, but that the susceptibility to them can be decreased by using methods to remove small-scale sensitivity. We also find, for half-integer powers of the shear that, for a Stage-IV experiment, biases are required to be known to better than approximately $σ[m_0+15(m_1+m_3)+0.1(m_{-1}+m_5)]\leq 0.01$. In future, Stage-IV dark energy experiments should seek to measure and minimise such all such bias terms.

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