Cosmological systematics beyond nuisance parameters: form-filling functions

Cosmological systematics beyond nuisance parameters: form-filling functions
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超越干扰参数的宇宙系统学:表格填写函数

DOI:
10.1111/j.1365-2966.2009.15408.x
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发表时间:
2009
影响因子:
4.8
通讯作者:
Kitching T
Kitching T
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Kitching T

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在没有任何令人信服的物理模型的情况下,宇宙学系统学经常被错误地表示为统计效应,并且边缘化额外的讨厌的系统参数的方法被用来衡量系统的影响。在这篇文章中,我们认为,这样的方法是危险的,因为关键的功能选择可以有很大的影响,由此产生的宇宙学errors.As替代,我们提出了一个功能的形式填充技术,其中一个未知的,剩余的,系统的处理。由于底层函数是未知的,我们评估可用信息(硬边界或一些数据)允许的每种函数形式的效果。使用一个简单的玩具模型,我们介绍了形式主义的功能形式填充。我们表明,参数误差可以显着影响的情况下,边缘化的功能选择的系统,但相反的功能形式填充方法是独立的基组的选择。然后,我们将该技术应用于宇宙剪切形状测量系统,并表明剪切校准偏差的|m(z)|未来的全天空测光测量需要10−3(1 +z)0.7,以产生无偏的宇宙学参数约束,达到百分之一的精度http://www.icosmo.org。
In the absence of any compelling physical model, cosmological systematics are often misrepresented as statistical effects and the approach of marginalizing over extra nuisance systematic parameters is used to gauge the effect of the systematic. In this article, we argue that such an approach is risky at best since the key choice of function can have a large effect on the resultant cosmological errors.As an alternative we present a functional form-filling technique in which an unknown, residual, systematic is treated as such. Since the underlying function is unknown, we evaluate the effect of every functional form allowed by the information available (either a hard boundary or some data). Using a simple toy model, we introduce the formalism of functional form filling. We show that parameter errors can be dramatically affected by the choice of function in the case of marginalizing over a systematic, but that in contrast the functional form-filling approach is independent of the choice of basis set.We then apply the technique to cosmic shear shape measurement systematics and show that a shear calibration bias of |m(z)| ≲ 10−3(1 +z)0.7is required for a future all-sky photometric survey to yield unbiased cosmological parameter constraints to per cent accuracy.A module associated with the work in this paper is available through the open sourceicosmocode available at http://www.icosmo.org.
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