Scalar kinetic mixing and the renormalization group
(2019) In Physics Letters, Section B: Nuclear, Elementary Particle and HighEnergy Physics 792. p.238243 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 1loop 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 nondiagonal 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 1loop 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 nondiagonal 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
 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 HighEnergy Physics
 volume
 792
 pages
 6 pages
 publisher
 Elsevier
 external identifiers

 scopus:85063756378
 ISSN
 03702693
 DOI
 10.1016/j.physletb.2019.03.051
 language
 English
 LU publication?
 yes
 id
 403f4013ffd74b6dbe4d492b4627900e
 date added to LUP
 20190423 10:00:01
 date last changed
 20190623 05:08:55
@article{403f4013ffd74b6dbe4d492b4627900e, 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 1loop 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 nondiagonal 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 = {03702693}, keyword = {Higgs physics,Kinetic mixing,Renormalization group,Renormalization scheme,RGE}, language = {eng}, pages = {238243}, publisher = {Elsevier}, series = {Physics Letters, Section B: Nuclear, Elementary Particle and HighEnergy 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}, }