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arXiv 1702.02155hep-ph
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量子场论中的轻子不对称率:分级极限下的NLO

Lepton asymmetry rate from quantum field theory: NLO in the hierarchical limit

Dietrich Bodeker, Marc Sangel

摘要:

在含有右手中微子的标准模型的扩展模型中,物质-反物质不对称性的产生速率是热致轻子生成重子的速率方程中最有趣和最不平凡的系数。我们得到这些速率的关系有限温度实时关联函数,类似于久保公式的传输系数。然后,我们考虑的情况下,层次质量的不育中微子。在他们的汤川耦合的领导顺序,我们发现一个简单的主公式,涉及到一个单一的有限温度三点谱函数的速率。它适用于$g$中的所有阶,其中$g$表示SM规范或夸克汤川耦合。我们用它来计算在非相对论体系中产生次领先阶的物质-反物质不对称的速率。校正是$g ^ 2$级的,并且它们总计为4%或更少。

英文摘要:

The rates for generating a matter-antimatter asymmetry in extensions of the Standard Model (SM) containing right-handed neutrinos are the most interesting and least trivial coefficients in the rate equations for baryogenesis through thermal leptogenesis. We obtain a relation of these rates to finite-temperature real-time correlation functions, similar to the Kubo formulas for transport coefficients. Then we consider the case of hierarchical masses for the sterile neutrinos. At leading order in their Yukawa couplings we find a simple master formula which relates the rates to a single finite temperature three-point spectral function. It is valid to all orders in $g$,where $g$ denotes a SM gauge or quark Yukawa coupling. We use it to compute the rate for generating a matter-antimatter asymmetry at next-to-leading order in g in the non-relativistic regime. The corrections are of order $g ^ 2$, and they amount to 4% or less.

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