Scalar kinetic mixing and the renormalization group

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.

• Author: Johan Bijnens; Joel Oredsson; Johan Rathsman
• Department/s: Theoretical Particle Physics - Has been reorganised
• Publishing year: 2019
• Language: English
• Pages: 238-243
• Publication/Series: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
• Volume: 792
• Links: http://dx.doi.org/10.1016/j.physletb.2019.03.051
• 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