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All one-loop scalar vertices in the effective potential approach

Camargo-Molina, José Eliel LU ; Morais, António P. LU ; Pasechnik, Roman LU ; Sampaio, Marco O P and Wessén, Jonas LU (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.

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author
organization
publishing date
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
publisher
Springer
external identifiers
  • scopus:84982104161
ISSN
1126-6708
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
2017-09-17 09:34:28
@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>},
  articleno    = {73},
  author       = {Camargo-Molina, José Eliel and Morais, António P. and Pasechnik, Roman and Sampaio, Marco O P and Wessén, Jonas},
  issn         = {1126-6708},
  keyword      = {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},
  volume       = {2016},
  year         = {2016},
}