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arXiv 1606.06191hep-ph
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味混合理论中壳层重整化条件的再研究

Revisiting on-shell renormalization conditions in theories with flavour mixing

W. Grimus, M. Löschner

摘要:

在这篇综述中,我们给出了在有和没有宇称守恒的理论中标量场和费米子场的在壳重整化条件的推导。我们还讨论了马约拉纳费米子的细节。我们的方法只假设一个规范形式的重整化传播和利用的事实,逆传播是非奇异的$\varepsilon = p^2 - m_n^2$,其中$p$是外部四动量和$m_n$是一个极点质量。通过这种方式,我们获得了与常用的壳条件完全一致。我们还讨论了如何在重整化中实现它们。

英文摘要:

In this review, we present a derivation of the on-shell renormalization conditions for scalar and fermionic fields in theories with and without parity conservation. We also discuss the specifics of Majorana fermions. Our approach only assumes a canonical form for the renormalized propagators and exploits the fact that the inverse propagators are non-singular in $\varepsilon = p^2 - m_n^2$, where $p$ is the external four-momentum and $m_n$ is a pole mass. In this way, we obtain full agreement with commonly used on-shell conditions. We also discuss how they are implemented in renormalization.

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