Self-consistent variational approach to the minimal left-right symmetric model of electroweak interactions

Abstract

The problem of mass generation is addressed by a Gaussian variational method for the minimal left-right symmetric model of electroweak interactions. Without any scalar bidoublet, the Gaussian effective potential is shown to have a minimum for a broken symmetry vacuum with a finite expectation value for both the scalar Higgs doublets. The symmetry is broken by the fermionic coupling that destabilizes the symmetric vacuum, yielding a self consistent fermionic mass. In this framework a light Higgs is only compatible with the existence of a new high energy mass scale below 2 TeV.

5 pages, 3 figures. New comments added and typing errors in eq. 8 and 11 corrected

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• A variational study of bound states in the Higgs model
• Gaussian Effective Potential and superconductivity
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• A general interpolation scheme for thermal fluctuations in superconductors
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• Variational Quantum Electrodynamics
• Non-perturbative effective model for the Higgs sector of the Standard Model
• Gaussian Effective Potential and Antiferromagnetism in the Hubbard Model
• Incorporating fermions in the Gaussian Effective Potential: the Higgs-Top Sector
• The Principle of Stationary Variance in Quantum Field Theory
• Electroweak Chiral Lagrangian for Left-right Symmetric Models
• Grand unification in the minimal left-right symmetric extension of the standard model
• Electroweak Radiative Corrections to Higgs Production via Vector Boson Fusion using SCET: Numerical Results
• Neutralino and chargino masses and related sum rules beyond MSSM