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arXiv 1312.7680hep-phastro-ph.COnucl-th
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Kadanoff-Baym方法研究热共振细长体成因

Kadanoff-Baym approach to the thermal resonant leptogenesis

Satoshi Iso, Kengo Shimada, Masato Yamanaka

备注：
51 pages + appendices (46 pages), 5 figures; typos corrected, references added
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摘要：

利用非平衡格林函数方法（Kadanoff-Baym方程），研究了膨胀宇宙中右手中微子具有几乎简并质量$|M_i^2-M_j^2| \ll M_i^2$时轻子数不对称性的演化.得到了与RH中微子$N_i$衰变有关的共振增强的$CP$破坏参数$\varepsilon_i$.它与具有调节剂$R_{ij}=M_i Γ_i+M_j Γ_j$的增强因子$(M_i^2-M_j^2) M_i Γ_j/ ((M_i^2-M_j^2)^2 +R_{ij}^2)$成比例。这一结果与Garny等人的结果一致，在一个恒定的背景下，具有一个不平衡的初始状态。我们讨论了这样一个调节器的起源，以及为什么它不像$R_{ij}=M_i Γ_i-M_j Γ_j$。

英文摘要：

Using the non-equilibrium Green function method (Kadanoff-Baym equations) in the expanding universe, we investigate evolution of the lepton number asymmetry when the right-handed (RH) neutrinos have almost degenerate masses $|M_i^2-M_j^2| \ll M_i^2$. The resonantly enhanced $CP$-violating parameter $\varepsilon_i$ associated with the decay of the RH neutrino $N_i$ is obtained. It is proportional to an enhancement factor $(M_i^2-M_j^2) M_i Γ_j/ ((M_i^2-M_j^2)^2 +R_{ij}^2)$ with the regulator $R_{ij}=M_i Γ_i+M_j Γ_j$. The result is consistent with the previous result obtained by Garny et al., in a constant background with an out-of-equilibrium initial state. We discuss the origin of such a regulator, and why it is not like $R_{ij}=M_i Γ_i-M_j Γ_j$.

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