# 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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**Scalar excitation with Leggett frequency in 3He-B and the 125 GeV Higgs particle in top quark condensation models as pseudo-Goldstone bosons.** / Volovik, Grigory; Zubkov, M.A.

Research output: Contribution to journal › Article › Scientific › peer-review

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*Physical Review D*, vol. 92, no. 5, 055004, pp. 1-26. https://doi.org/10.1103/PhysRevD.92.055004

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*Physical Review D*,

*92*(5), 1-26. [055004]. https://doi.org/10.1103/PhysRevD.92.055004

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TY - JOUR

T1 - Scalar excitation with Leggett frequency in 3He-B and the 125 GeV Higgs particle in top quark condensation models as pseudo-Goldstone bosons

AU - Volovik, Grigory

AU - Zubkov, M.A.

N1 - VK: Low Temperature Laboratory

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Higgs amplitude modes

KW - Higgs boson

KW - light Higgs

KW - Higgs amplitude modes

KW - Higgs boson

KW - light Higgs

KW - Higgs amplitude modes

KW - Higgs boson

KW - light Higgs

UR - http://dx.doi.org/10.1103/PhysRevD.92.055004

U2 - 10.1103/PhysRevD.92.055004

DO - 10.1103/PhysRevD.92.055004

M3 - Article

VL - 92

SP - 1

EP - 26

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 2470-0010

IS - 5

M1 - 055004

ER -

ID: 2021221