Scalar kinetic mixing and the renormalization group

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    Quantum field theories containing scalar fields with equal quantum numbers allow for a mixed kinetic term in the Lagrangian. It has been argued that this mixing must be taken into consideration when performing renormalization group (RG) analyses of such a theory. However, from the fact that scalar kinetic mixing does not correspond to a physical observable, we show that no extra parameters need to be introduced. Using a toy model, we explicitly derive the 1-loop RG equations (RGEs) in three different renormalization schemes to demonstrate how this issue can be dealt with. In schemes without kinetic mixing, either the fields mix during renormalization to produce non-diagonal anomalous dimensions or the RGEs explicitly depend on the scalar masses. Finally, we show how the different schemes are related to each other by scale dependent field redefinitions.

    Original languageEnglish
    Pages (from-to)238-243
    Number of pages6
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Publication statusPublished - 2019

    Subject classification (UKÄ)

    • Subatomic Physics

    Free keywords

    • Higgs physics
    • Kinetic mixing
    • Renormalization group
    • Renormalization scheme
    • RGE


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