Non-Perturbative Aspects of the Higgs Sector in the Standard Electroweak Theory

  • István Montvay
Part of the Ettore Majorana International Science Series book series (EMISS, volume 44)


Non-perturbative aspects of quantum field theories with elementary scalars are reviewed. Such theories play an important rôle in connection with the Higgs mechanism of mass generation in the standard model. Recent non-perturbative results in pure ϕ 4 models imply an upper limit m H ≤ 630 GeV on the mass of the Higgs boson. The effect of the SU(2) gauge coupling on the pure ϕ 4 sector is discussed. It is pointed out that the influence of the Yukawa-couplings of the Higgs scalar to heavy fermions may be important, because a non-trivial infrared fixed point structure can arise. The problem of chiral fermion gauge theories is summarized. In these theories the chiral fermions always appear in mirror pairs if the mirror Yukawa-couplings are attracted by the trivial infrared fixed point. This provides a strong motivation of the experimental search for mirror fermions and for their indirect effects in low energy phenomenology. In case if mirror fermions do exist in nature, future high energy colliders have a very important rôle in the exploration of their properties.


Gauge Coupling Continuum Limit Higgs Sector Heavy Fermion Renormalization Group Equation 


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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • István Montvay
    • 1
  1. 1.Deutsches Elektronen-Synchrotron DESYHamburgGermany

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