Scalar kinetic mixing and the renormalization group
(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.
(Less)
- author
- Bijnens, Johan LU ; Oredsson, Joel LU and Rathsman, Johan LU
- organization
- publishing date
- 2019
- 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
- 2022-12-15 17:05:56
@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}}, keywords = {{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}}, doi = {{10.1016/j.physletb.2019.03.051}}, volume = {{792}}, year = {{2019}}, }