An Upper Bound on the Higgs Boson Mass from a Positivity Condition on the Mass Matrix
Ali Al-Naghmoush, Murat Özer, M. O. Taha
Abstract
We impose the condition that the eigenvalues of the mass matrix in the shifted Lagrangian density be positive at ϕ=ϕ0, the vacuum expectation value of the scalar field. Using the one-loop effective potential of the standard model, this condition leads to an upper bound on the Higgs boson mass mH: mH<230GeV, for a top quark mass of 175GeV.
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