Renormalization Group Analysis of the Higgs Boson Mass in a Noncommutative Geometry : Particles and Fields
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概要
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Within one loop approximation, the renormalization group analysis of the Higgs boson mass is performed with the extra initial condition 4λ = g^2 = (5/3)g'^2 for the Higgs quartic and SU(2)_L and U(1)_Y gauge coupling constants. This initial condition is introduced in the new scheme of noncommutative differential geometry (NCG) for the reconstruction of the standard model. The former part of this relation leads to the mass relation m_H = √<2>m_W, and the latter part leads to the well-known relation in the grand unified theory (GUT) sin^2 θ_W = 3/8 . However, contrary to SU(5) GUT without supersymmetry, the grand unification of the coupling constants is not realized in this scheme. The physical mass of the Higgs boson depends strongly on the top quark mass mtop since the top quark Yukawa coupling constants give a large negative contribution to the β function of the Higgs quartic coupling constant over a wide range. The Higgs boson mass varies from 153.42 GeV to 191.94 GeV corresponding to 168 GeV ≦ mtop ≦ 192 GeV. We find m_H = 164.01 GeV for m_<top> = 175 GeV and m_H = 171.92 GeV for m_<top> = 180 GeV.
- 理論物理学刊行会の論文
- 1997-12-25
著者
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Okumura Yoshitaka
Department Of Applied Physics Chubu Institute Of Technology
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OKUMURA Yoshitaka
Department of Applied Physics, Chubu Institute of Technology Kasugai
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OKUMURA Yoshitaka
Department of Natural Science,Chubu University
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OKUMURA Yoshitaka
Physics Laboratory, University of Alberta
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OKUMURA Yoshitaka
Department of Applied Physics, Chubu University
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OKUMURA Yoshitaka
Department of Physics, Boston University:The Department of Natural Sciences, Chubu University
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