Scalar excitation with Leggett frequency in ^{3}He B and the 125 GeV Higgs particle in top quark condensation models as pseudoGoldstone bosons
Abstract
We consider the scenario in which the light Higgs scalar boson appears as the pseudoGoldstone boson. We discuss examples in both condensed matter and relativistic field theory. In ^{3}He B the symmetry breaking gives rise to four NambuGoldstone (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 M_{H}=ℏΩ_{B} . The formation of the Higgs mass is the result of the violation of the hidden spinorbit symmetry at low energy. In this scenario the symmetrybreaking energy scale Δ (the gap in the fermionic spectrum) and the Higgs mass scale M_{H} are highly separated: M_{H}≪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 lefthanded top and bottom quarks to the additional fermion χ_{L}. This symmetry is softly broken at low energies. As a result the only C P 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 topseesaw models, where the condensate ⟨t_{¯ L}χ_{R}⟩ is offdiagonal. 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 fourfermion terms. This reveals a complete analogy with ^{3}He, where there is no explicit mass term and the spinorbit interaction has the form of the fourfermion interaction.
 Publication:

Physical Review D
 Pub Date:
 September 2015
 DOI:
 10.1103/PhysRevD.92.055004
 arXiv:
 arXiv:1410.7097
 Bibcode:
 2015PhRvD..92e5004V
 Keywords:

 12.60.i;
 12.60.Fr;
 14.65.Ha;
 67.30.H;
 Models beyond the standard model;
 Extensions of electroweak Higgs sector;
 Top quarks;
 Superfluid phase of <sup>3</sup>He;
 High Energy Physics  Phenomenology
 EPrint:
 Latex, 33 pages