The mass scales of the Higgs field
Maurizio Consoli, Leonardo Cosmai

TL;DR
This paper explores the existence of two distinct mass scales in the Higgs field, supported by lattice simulations, suggesting a possible higher mass resonance around 720 GeV that could influence LHC observations.
Contribution
It introduces a two-scale structure of the Higgs mass in a cutoff theory, supported by lattice data, and proposes a reinterpretation of experimental Higgs mass measurements.
Findings
Identification of two Higgs mass scales, m_h and M_h, with M_h around 720 GeV.
Lattice simulations support the two-scale structure and suggest a possible higher resonance.
Implication that the Higgs mass could be higher than 125 GeV, affecting LHC analysis.
Abstract
In the first version of the theory, with a classical scalar potential, the sector inducing SSB was distinct from the Higgs field interactions induced through its gauge and Yukawa couplings. We have adopted a similar perspective but, following most recent lattice simulations, described SSB in theory as a weak first-order phase transition. In this case, the resulting effective potential has two mass scales: i) a lower mass , defined by its quadratic shape at the minima, ~and~ ii) a larger mass , defined by the zero-point energy. These refer to different momentum scales in the propagator and are related by , where is the ultraviolet cutoff of the scalar sector. We have checked this two-scale structure with lattice simulations of the propagator and of the susceptibility in the 4D Ising limit of the theory. These…
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