As an alternative to the metastability of the electroweak vacuum, resulting from perturbative calculations, one can consider a non-perturbative effective potential which, as at the beginning of the Standard Model, is restricted to the pure Φ⁴ sector yet consistent with the known analytical and numerical studies. In this approach, where the electroweak vacuum is now the lowest-energy state, besides the resonance of mass mₕ= 125 GeV defined by the quadratic shape of the potential at its minimum, the Higgs field should exhibit a second resonance with mass (MH)Theor=690\,(30) GeV associated with the zero-point energy determining the potential depth. In spite of its large mass, this resonance would couple to longitudinal Ws with the same typical strength as the low-mass state at 125 GeV and represent a relatively narrow resonance, mainly produced at LHC by gluon-gluon fusion. In this Letter, we review LHC data suggesting a new resonance of mass (MH)EXP ~ 682\,(10) GeV, with a statistical significance that is far from negligible.
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Consoli et al. (2024) studied this question.
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