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The Higgs Mechanism and The Vacuum Energy Density Problem

Alp Deniz Özer
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Abstract

We discuss the vacuum energy density term resulting from the spontaneous breakdown of the electroweak gauge symmetry, in the Higgs Mechanism. We alternatively expand the scalar field at one of the degenerate states that lie outside the circle of minimum, such that the Higgs Potential becomes free of any constant field term, and describes a true vacuum. We show that this true vacuum requires a slightly smaller quartic coupling, if the same $v$ and $m_H$ values of the electroweak model are imposed. We propose that this small difference (exactly 20 percent) can be utilized as a test to distinguish and identify the true vacuum, in future experiments at LHC. We shortly discuss the resulting new Higgs Potential, and its cosmological implications.

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Alp Deniz Özer. 2004-09-27. The Higgs Mechanism and The Vacuum Energy Density Problem. https://arxiv.org/abs/hep-ph/0408311

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