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arXiv 2609.20936hep-phastro-ph.CO

AutoTherm:用于宇宙学的自动热场论速率计算

AutoTherm: Automated Thermal Field Theory rates for cosmology

Killian Bouzoud, Jacopo Ghiglieri, Greg Jackson

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中文总结 AI 辅助

AutoTherm 是一个自动化热场论计算代码,用于从模型文件自动计算宇宙学中粒子的热产生率,实现了硬热圈求和的自动化,并成功复现或修正了多种粒子的产生率结果。

中文摘要 AI 辅助

AutoTherm 是一个模块化代码,用于从热场论中自动确定宇宙学的热产生率和相互作用率。此首个版本完全自动计算超相对论 $2\leftrightarrow 2$ 过程对与热浴耦合的非平衡 $\vartheta$ 粒子产生率的领头阶贡献。它接受描述热浴-$\vartheta$ 系统拉格朗日量的 FeynRules 模型文件作为输入。AutoTherm 程序由一个利用 FeynArts/FormCalc 的 Wolfram 包以及几个用于符号和数值例程的 Python 模块组成。它们的组合使用从模型文件得到速率,但每个组件也可以独立使用。此版本的主要优势是自动、模型无关地处理硬热圈求和,这在 $2\leftrightarrow 2$ 过程由 $t$ 通道无质量中介体介导时是必需的。热场论的发展将看似很大的模型依赖性简化为对中介体热质量的确定,我们成功地实现了这一过程的自动化。它们还使我们能够提供三种领头阶等价的 HTL 求和实现。它们之间的差异提供了来自高阶热修正的理论不确定性的首次估计。我们通过成功复现或修正文献中的一系列结果来展示 AutoTherm 框架的优势,例如超相对论右手中微子、引力子和引力微子、轴子和暗光子的热产生率。

英文摘要

AutoTherm is a modular code automating the determination of thermal production and interaction rates for cosmology from Thermal Field Theory. This first release computes fully automatically the leading-order contribution from ultrarelativistic $2\leftrightarrow 2$ processes to the production rate of an off-equilibrium $\vartheta$ particle coupled to a thermal bath. It takes as input a FeynRules model file describing the Lagrangian of the bath-$\vartheta$ system. The AutoTherm program consists of a Wolfram package, which utilises FeynArts/FormCalc, together with a few Python modules for symbolic and numerical routines. Their combined usage leads from the model file to the rate, but each component can also be used in a standalone manner. The main strength of this release is the automated, model-independent handling of Hard Thermal Loop resummation, which is necessary whenever a $2\leftrightarrow 2$ process is mediated by a $t$-channel massless mediator. Developments in Thermal Field Theory reduce the apparently large model dependence to the determination of the thermal mass of the mediator, which we automate successfully. They further allow us to provide three leading-order-equivalent implementations of HTL resummation. Their spread provides a first estimate of the theory uncertainty from higher-order thermal corrections. We showcase the strength of our AutoTherm framework by successfully reproducing or correcting a host of results in the literature, such as the thermal production rate of ultrarelativistic right-handed neutrinos, of gravitons and gravitinos, of axions and of dark photons.

发表机构

  • SUBATECH, Nantes Université, IMT Atlantique, IN2P3/CNRS(SUBATECH,南特大学,IMT大西洋学院,IN2P3/法国国家科学研究中心)

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