Scalar excitation with Leggett frequency in 3He-B and the 125 GeV Higgs particle in top quark condensation models as pseudo-Goldstone bosons

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Research units

  • Landau Institute for Theoretical Physics RAS
  • Institute for Theoretical and Experimental Physics
  • Moscow Institute of Physics and Technology
  • Far Eastern Federal University
  • Université de Tours


We consider the scenario in which the light Higgs scalar boson appears as the pseudo-Goldstone boson. We discuss examples in both condensed matter and relativistic field theory. In 3He−B the symmetry breaking gives rise to four Nambu-Goldstone (NG) modes and 14 Higgs modes. At lower energy one of the four NG modes becomes the Higgs boson with a small mass. This is the mode measured in experiments with the longitudinal NMR, and the Higgs mass corresponds to the Leggett frequency MH=ℏΩB. The formation of the Higgs mass is the result of the violation of the hidden spin-orbit symmetry at low energy. In this scenario the symmetry-breaking energy scale Δ (the gap in the fermionic spectrum) and the Higgs mass scale MH are highly separated: MH≪Δ. On the particle physics side we consider the model inspired by the models of Refs. Cheng et al. [J. High Energy Phys. 08 (014) 095] and Fukano et al. [Phys. Rev. D 90, 055009 (2014)]. At high energies the SU(3) symmetry is assumed which relates the left-handed top and bottom quarks to the additional fermion χL. This symmetry is softly broken at low energies. As a result the only CP-even Goldstone boson acquires a mass and may be considered as a candidate for the 125 GeV scalar boson. We consider a condensation pattern different from that typically used in top-seesaw models, where the condensate ⟨¯tLχR⟩ is off-diagonal. In our case the condensates are mostly diagonal. Unlike the work of Cheng et al. [J. High Energy Phys. 08 (014) 095] and Fukano et al. [Phys. Rev. D 90, 055009 (2014)], the explicit mass terms are absent and the soft breaking of SU(3) symmetry is given solely by the four-fermion terms. This reveals a complete analogy with 3He, where there is no explicit mass term and the spin-orbit interaction has the form of the four-fermion interaction.


Original languageEnglish
Article number055004
Pages (from-to)1-26
JournalPhysical Review D
Issue number5
Publication statusPublished - 2015
MoE publication typeA1 Journal article-refereed

    Research areas

  • Higgs amplitude modes, Higgs boson, light Higgs

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