All one-loop scalar vertices in the effective potential approach

2016/06/22 by José Eliel Camargo-Molina, A. Morais, Camargo-Molina, José Eliel +7 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1606.07069

openalex publication_date 2016/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

Citations

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• First Results from the LUX Dark Matter Experiment at the Sanford Underground Research Facility
• One-loop Matching and Running with Covariant Derivative Expansion
• How to use the Standard Model effective field theory

Cited by

• Spontaneous Symmetry Breaking as a Late-Time Trigger for Interacting Dark Energy

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