All one-loop scalar vertices in the effective potential approach

  • José Eliel Camargo-Molina
  • António P. Morais
  • Roman Pasechnik
  • Marco O. P. Sampaio
  • Jonas Wessén
Open Access
Regular Article - Theoretical Physics


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.


Beyond Standard Model Higgs Physics Spontaneous Symmetry Breaking 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • José Eliel Camargo-Molina
    • 1
  • António P. Morais
    • 1
    • 2
  • Roman Pasechnik
    • 1
  • Marco O. P. Sampaio
    • 2
  • Jonas Wessén
    • 1
  1. 1.Department of Astronomy and Theoretical PhysicsLund UniversityLundSweden
  2. 2.Departamento de Física da Universidade de Aveiro and CIDMAAveiroPortugal

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