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Gaussian effective potential for the standard modelSU(2)×U(1)electroweak theory

2008/03/20 by Fabio Siringo, Luca Marotta · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.78.016003

published as Phys.Rev.D78:016003,2008

arxiv created 2008/03/20 · openalex publication_date 2008/07/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The Gaussian effective potential is derived for the non-Abelian SU(2)\ifmmode×\else\texttimes\fiU(1) gauge theory of electroweak interactions. At variance with naive derivations, the Gaussian effective potential is proven to be a genuine variational tool in any gauge. The role of ghosts is discussed and the unitarity gauge is shown to be the only choice which allows calculability without insertion of further approximations. The full non-Abelian calculation confirms the existence of a light Higgs boson in the nonperturbative strong coupling regime of the Higgs sector.

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