Renormalization Group Analysis of the Higgs Boson Mass in a Noncommutative Geometry.

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  • Renormalization Group Analysis of the H

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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=g2=(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 mH=√ 2 mW, and the latter part leads to the well-known relation in the grand unified theory (GUT) sin2θW=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 begin equation ta 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 mH=164.01 GeV for mtop=175 GeV and mH=171.92 GeV for mtop=180 GeV. kip 0.2cm

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