星系偏袒展开中抵消项的正则化方案依赖性
Regularization Scheme Dependence of the Counterterms in the Galaxy Bias Expansion
AI总结：
本文在原初局部非高斯性背景下研究星系偏袒展开中不同正则化方案对抵消项的影响，通过对 $δ_ρ^2$ 场进行三阶单圈重整化，验证了非boost不变算符系数的方案无关性。
摘要：
本文探讨不同正则化处方如何影响星系偏袒展开重整化中的抵消项。我们在包含非线性引力演化的原初局部非高斯性背景下进行研究。我们对场 $δ_ρ^2$（即物质过密度场的平方）进行直到引力演化三阶的单圈重整化。考虑了三种正则化方案，并研究了它们对抵消项取值的影响。我们明确验证了非boost不变算符的系数与正则化方案无关。
英文摘要：
In this paper we explore how different regularization prescriptions affect the counterterms in the renormalization of the galaxy bias expansion. We work in the context of primordial local non-Gaussianity including non-linear gravitational evolution. We carry out the one-loop renormalization of the field $δ_ρ^2$ (i.e. the square of the matter overdensity field) up to third order in gravitational evolution. Three regularization schemes are considered and their impact on the values of the counterterms is studied. We explicitly verify that the coefficients of the non-boost invariant operators are regularization scheme independent.
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