All one-loop scalar vertices in the effective potential approach
(2016) In Journal of High Energy Physics 2016(8).- Abstract
Using the one-loop Coleman-Weinberg effective potential, we derive a general analytic expression for all the derivatives of the effective potential with respect to any number of classical scalar fields. The result is valid for a renormalisable theory in four dimensions with any number of scalars, fermions or gauge bosons. This result corresponds to the zero-external momentum contribution to a general one-loop diagram with N scalar external legs. We illustrate the use of the general result in two simple scalar singlet extensions of the Standard Model, to obtain the dominant contributions to the triple couplings of light scalar particles under the zero external momentum approximation.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8e8a15bc-f823-476d-98e8-dc4e898970cc
- author
- Camargo-Molina, José Eliel LU ; Morais, António P. LU ; Pasechnik, Roman LU ; Sampaio, Marco O P and Wessén, Jonas LU
- organization
- publishing date
- 2016-08-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Beyond Standard Model, Higgs Physics, Spontaneous Symmetry Breaking
- in
- Journal of High Energy Physics
- volume
- 2016
- issue
- 8
- article number
- 73
- publisher
- Springer
- external identifiers
-
- wos:000411319300001
- scopus:84982104161
- ISSN
- 1029-8479
- DOI
- 10.1007/JHEP08(2016)073
- language
- English
- LU publication?
- yes
- id
- 8e8a15bc-f823-476d-98e8-dc4e898970cc
- date added to LUP
- 2016-12-14 10:22:52
- date last changed
- 2024-08-10 01:14:57
@article{8e8a15bc-f823-476d-98e8-dc4e898970cc, abstract = {{<p>Using the one-loop Coleman-Weinberg effective potential, we derive a general analytic expression for all the derivatives of the effective potential with respect to any number of classical scalar fields. The result is valid for a renormalisable theory in four dimensions with any number of scalars, fermions or gauge bosons. This result corresponds to the zero-external momentum contribution to a general one-loop diagram with N scalar external legs. We illustrate the use of the general result in two simple scalar singlet extensions of the Standard Model, to obtain the dominant contributions to the triple couplings of light scalar particles under the zero external momentum approximation.</p>}}, author = {{Camargo-Molina, José Eliel and Morais, António P. and Pasechnik, Roman and Sampaio, Marco O P and Wessén, Jonas}}, issn = {{1029-8479}}, keywords = {{Beyond Standard Model; Higgs Physics; Spontaneous Symmetry Breaking}}, language = {{eng}}, month = {{08}}, number = {{8}}, publisher = {{Springer}}, series = {{Journal of High Energy Physics}}, title = {{All one-loop scalar vertices in the effective potential approach}}, url = {{http://dx.doi.org/10.1007/JHEP08(2016)073}}, doi = {{10.1007/JHEP08(2016)073}}, volume = {{2016}}, year = {{2016}}, }