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Photo of Johan Bijnens

Johan Bijnens

Professor

Photo of Johan Bijnens

Scalar kinetic mixing and the renormalization group

Author

  • Johan Bijnens
  • Joel Oredsson
  • Johan Rathsman

Summary, in English

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.

Department/s

  • Theoretical Particle Physics

Publishing year

2019

Language

English

Pages

238-243

Publication/Series

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volume

792

Document type

Journal article

Publisher

Elsevier

Topic

  • Subatomic Physics

Keywords

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

Status

Published

ISBN/ISSN/Other

  • ISSN: 0370-2693