TY - JOUR

T1 - Scalar excitation with Leggett frequency in He 3 - B and the 125 GeV Higgs particle in top quark condensation models as pseudo-Goldstone bosons SCALAR EXCITATION with LEGGETT FREQUENCY in ⋯ G.E. VOLOVIK and M.A. ZUBKOV

AU - Volovik, G. E.

AU - Zubkov, M. A.

N1 - Publisher Copyright:
© 2015 American Physical Society.

PY - 2015/9/2

Y1 - 2015/9/2

N2 - 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 He3, where there is no explicit mass term and the spin-orbit interaction has the form of the four-fermion interaction.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 He3-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=?ΩB. 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.

AB - 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 He3, where there is no explicit mass term and the spin-orbit interaction has the form of the four-fermion interaction.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 He3-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=?ΩB. 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.

UR - http://www.scopus.com/inward/record.url?scp=84943744042&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.92.055004

DO - 10.1103/PhysRevD.92.055004

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AN - SCOPUS:84943744042

SN - 1550-7998

VL - 92

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

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

IS - 5

M1 - 055004

ER -