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Scalar kinetic mixing and the renormalization group

Bijnens, Johan LU ; Oredsson, Joel LU and Rathsman, Johan LU (2019) In Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 792. p.238-243
Abstract

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... (More)

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.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Higgs physics, Kinetic mixing, Renormalization group, Renormalization scheme, RGE
in
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
volume
792
pages
6 pages
publisher
Elsevier
external identifiers
  • scopus:85063756378
ISSN
0370-2693
DOI
10.1016/j.physletb.2019.03.051
language
English
LU publication?
yes
id
403f4013-ffd7-4b6d-be4d-492b4627900e
date added to LUP
2019-04-23 10:00:01
date last changed
2019-06-23 05:08:55
@article{403f4013-ffd7-4b6d-be4d-492b4627900e,
  abstract     = {<p>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.</p>},
  author       = {Bijnens, Johan and Oredsson, Joel and Rathsman, Johan},
  issn         = {0370-2693},
  keyword      = {Higgs physics,Kinetic mixing,Renormalization group,Renormalization scheme,RGE},
  language     = {eng},
  pages        = {238--243},
  publisher    = {Elsevier},
  series       = {Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics},
  title        = {Scalar kinetic mixing and the renormalization group},
  url          = {http://dx.doi.org/10.1016/j.physletb.2019.03.051},
  volume       = {792},
  year         = {2019},
}