arXiv 2209.001662022-09-05hep-phastro-ph.COhep-exhep-th

电弱理论中的新型不稳定性和CP破坏

New types of instability and CP violation in electroweak theory

M. Yoshimura

备注：: CPV renormalization corrected. 11 pages, 1 figure

摘要：

由于假设的无质量带电费米子，类矢量QED理论中的Schwinger机制在背景电磁场作用下存在对数奇异性。我们将奇异性分析推广到手征电弱理论的一个更现实的例子中，证明了零温度下背景规范场下的有效拉格朗日量具有与$\ln (1/m_ν^2)$成正比的类似的不稳定性，其中$m_ν$是一个小的中微子质量.此外，手征费米子环的有效拉格朗日量中含有与背景规范场成正比的$\vec{E}_Z\cdot\vec{B}_Z$或$(\vec{E}_{W^+}\cdot\vec{B}_{W^-}+ \vec{E}_{W^-}\cdot\vec{B}_{W^+})/2 $的奇次幂的CP破坏段。这为标准粒子理论中的CP破坏和时间反演对称性破坏提供了一个新的来源，与夸克质量混合矩阵的Kobayashi-Maskawa相无关。在SU（2）$\times $ U（1）规范场背景下，计算了自发破缺相的有限温度热平衡有效作用量$T$。发现了一个更奇异的幂律行为$\propto (m_ν T)^{-5/2}$，它也包含CP破坏项。马约拉纳中微子的情况几乎满足了产生大轻子数不对称的所有必要条件，尽管不一定能转化为重子不对称，因为这可能发生在较低的宇宙温度下。

英文摘要：

It is known that the Schwinger mechanism of vector-like QED theory is afflicted by a logarithmic singularity under background electromagnetic field due to a hypothetical massless charged fermion. We extend singularity analysis to a more realistic case of the chiral electroweak theory, to show that the effective lagrangian under background gauge field at zero temperature exhibits a similar instability proportional to $\ln (1/m_ν^2)$ with $m_ν$ a small neutrino mass. Moreover, the effective lagrangian of chiral fermion loop contains CP violating pieces proportional to background gauge fields in odd powers of $\vec{E}_Z\cdot\vec{B}_Z$ or $(\vec{E}_{W^+}\cdot\vec{B}_{W^-}+ \vec{E}_{W^-}\cdot\vec{B}_{W^+})/2 $. This brings in a new source of CP violation and time-reversal symmetry violation in the standard particle theory independent of the Kobayashi-Maskawa phase of quark mass mixing matrix. The effective action in thermal equilibrium at finite temperature $T$ is then calculated under background SU(2)$\times $U(1) gauge fields in the spontaneously broken phase. An even more singular power-law behavior $\propto (m_ν T)^{-5/2}$ is found and it contains CP violating term as well. The case of Majorana neutrino satisfies almost all necessary conditions to generate a large lepton number asymmetry, though not necessarily convertible to a baryon asymmetry due to lower cosmic temperatures at which this may occur.

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摘要：

英文摘要：

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