General upper bounds on the light-neutral-Higgs-boson mass in minimal low-energy supergravity

Mathematics – Logic

Scientific paper

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Supergravity, Supersymmetry

Scientific paper

Using the most general analytic solutions of the relevant renormalization-group equations for the minimal supersymmetric extension of the standard model, it is explicitly shown through the numerical optimization of the ratio of the two Higgs-field vacuum expectation values that the absolute upper bound for the mass of the light neutral Higgs boson significantly exceeds previous estimates. For a top-quark mass in the range 30<~mt<~50 GeV, this bound is still restrictive enough to have important phenomenological consequences.

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