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arXiv · 1606.06191

Revisiting on-shell renormalization conditions in theories with flavour mixing

W. Grimus·M. Löschner
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Abstract

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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W. Grimus, M. Löschner. 2017-03-21. Revisiting on-shell renormalization conditions in theories with flavour mixing. https://doi.org/10.1142/s0217751x16300386

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