Right-handed neutrino production at finite temperature: radiative corrections, soft and collinear divergences
Right-handed neutrino production at finite temperature: radiative corrections, soft and collinear divergences
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DOI：
10.1007/jhep04(2013)099
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发表时间：
2013-02
影响因子：
5.4
通讯作者：
B. Garbrecht;Frank Glowna;Matti Herranen
中科院分区：
文献类型：
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作者：
B. Garbrecht;Frank Glowna;Matti Herranen
有限温度下大质量稀薄中微子的产生和衰变速率受到轻子和希格斯双重态规范相互作用的次前级修正。利用闭合时间路径方法，我们证明了摄动得到的包含率是有限的。为此，我们证明了当将1↔3和2↔2过程的树级速率加到顶点校正和波函数校正到1↔2过程时，软发散、共线发散和玻色发散被抵消。这些结果适用于不孕中微子相对于等离子体框架的一般动量。此外，它们不依赖于非相对论近似，因此在微扰理论中，完整的量子统计效应被解释到给定的阶数。虽然中微子的产生率与薄层发生有关，但所提出的方法也可能适用于更一般的相对论输运现象。
The production and decay rate of massive sterile neutrinos at finite temperature receives next-to-leading order corrections from the gauge interactions of lepton and Higgs doublets. Using the Closed-Time-Path approach, we demonstrate that the perturbatively obtained inclusive rate is finite. For this purpose, we show that soft, collinear and Bose divergences cancel when adding the tree-level rates from 1↔ 3 and 2↔ 2 processes to vertex and wave-function corrections to 1↔ 2 processes. These results hold for a general momentum of the sterile neutrino with respect to the plasma frame. Moreover, they do not rely on non-relativistic approximations, such that the full quantum-statistical effects are accounted for to the given order in perturbation theory. While the neutrino production rate is of relevance for Leptogenesis, the proposed methods may as well be suitable for application to a more general class of relativistic transport phenomena.