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arXiv 2501.03327hep-phastro-ph.COhep-th
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早期宇宙中暗物质粒子对的有效场论：Debye质量效应

Effective field theories for dark matter pairs in the early universe: Debye mass effects

Simone Biondini, Nora Brambilla, Andrii Dashko, Gramos Qerimi, Antonio Vairo

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55 pages, 14 figures, affiliation updated
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AI总结：

本文利用有限温非相对论有效场论研究重费米子暗物质冻结，系统比较Debye质量重求和与热浴次领头阶修正，发现固定阶散射计算会高估暗物质耗竭并降低产额。

摘要：

在早期宇宙的某些情景中，当温度降至远低于暗物质质量时，非相对论性热暗物质会与热环境发生化学退耦。能量密度冻结时的取值取决于底层模型。在一个简单设定中，我们对重费米子暗物质与暗热部门轻自由度之间的相互作用进行了全面研究，该部门的温度$T$从接近冻结温度的初始值开始下降。不同温度意味着不同的能标层级。利用有限$T$下的非相对论性有效场论方法，我们系统地确定了热相互作用率和真空相互作用率。特别地，我们讨论了Debye质量对可观测量并最终对暗物质遗迹丰度的影响。我们在数值上比较了两类对当前能量密度的修正：一类来自Debye质量效应的重求和，另一类来自对热浴粒子相互作用的次领头阶处理。我们观察到，相对于对Debye质量效应进行重求和的计算，高温下非弹性重–轻粒子散射的固定阶计算给出更大的暗物质耗竭，因此对于参数空间中的给定基准点给出偏小的产额。

英文摘要：

In some scenarios for the early universe, non-relativistic thermal dark matter chemically decouples from the thermal environment once the temperature drops well below the dark matter mass. The value at which the energy density freezes out depends on the underlying model. In a simple setting, we provide a comprehensive study of heavy fermionic dark matter interacting with the light degrees of freedom of a dark thermal sector whose temperature $T$ decreases from an initial value close to the freeze-out temperature. Different temperatures imply different hierarchies of energy scales. By exploiting the methods of non-relativistic effective field theories at finite $T$, we systematically determine the thermal and in-vacuum interaction rates. In particular, we address the impact of the Debye mass on the observables and ultimately on the dark matter relic abundance. We numerically compare the corrections to the present energy density originating from the resummation of Debye mass effects with the corrections coming from a next-to-leading order treatment of the bath-particle interactions. We observe that the fixed-order calculation of the inelastic heavy-light scattering at high temperatures provides a larger dark matter depletion, and hence an undersized yield for given benchmark points in the parameter space, with respect to the calculation where Debye mass effects are resummed.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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