两循环扰动与星系偏置的运行
摘要
我们系统地将星系偏置扰动 renormalization 的框架扩展到两循环阶数。对于由密度场的五阶及其在梯度展开中主导阶数的 29 个确定性偏置算符构成的最小完整基，我们显式地计算了一级和二级扰动 renormalization。后者以偏置核的双硬限制形式给出，我们发现其仅取决于环动量比值的一个函数。After including stochasticity in terms of composite operator renormalization, we apply the framework to the two-loop power spectrum of biased tracers and provide a simple result suitable for numerical evaluation. In addition, we work out one- and two-loop renormalization group equations (RGE) for deterministic bias coefficients related to bias operators constructed from a smoothed density field, generalizing previous works. We identify a linear combination of bias operators with enhanced UV sensitivity, related to a positive eigenvalue of the RGE. Finally, we present an analogy with the RGE as used in quantum field theory, suggesting that a resummation of large logarithms as employed in the latter may also yield useful applications in the study of large-scale galaxy bias.
关键词
引用
@article{arxiv.2507.13904,
title = {The dynamical evolution of the stellar clumps in the Sparkler galaxy},
author = {Eric Giunchi and Federico Marinacci and Carlo Nipoti and Adélaïde Claeyssens and Raffaele Pascale and Francesco Calura and Antonio Ragagnin},
journal= {arXiv preprint arXiv:2507.13904},
year = {2025}
}
备注
Submitted to A&A; 16 pages, 4 pages of Appendix, 16 figures, 6 tables