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Electroweak $SU(2)_L \times U(1)_Y$ model with strong spontaneously fermion-mass-generating gauge dynamics

High Energy Physics - Phenomenology 2021-04-07 v1

Abstract

Higgs sector of the Standard model (SM) is replaced by quantum flavor dynamics (QFD), the gauged flavor SU(3)fSU(3)_f symmetry with scale Λ\Lambda. Anomaly freedom requires addition of three νR\nu_R. The approximate QFD Schwinger-Dyson equation for the Euclidean infrared fermion self-energies Σf(p2)\Sigma_f(p^2) has the spontaneous-chiral-symmetry-breaking solutions ideal for seesaw: (1) Σf(p2)=MfR2/p\Sigma_f(p^2)=M_{fR}^2/p where three Majorana masses MfRM_{fR} of νfR\nu_{fR} are of order Λ\Lambda. (2) Σf(p2)=mf2/p\Sigma_f(p^2)=m_f^2/p where three Dirac masses mf=m(0)1+m(3)λ3+m(8)λ8m_f=m_{(0)}1+m_{(3)}\lambda_3+m_{(8)}\lambda_8 of SM fermions are {\it exponentially suppressed w.r.t. Λ\Lambda}, and {\it degenerate for all SM fermions in ff}. (1) MfRM_{fR} break SU(3)fSU(3)_f symmetry completely; m(3),m(8)m_{(3)},m_{(8)} superimpose the tiny breaking to U(1)×U(1)U(1) \times U(1). All flavor gluons thus acquire self-consistently the masses Λ\sim \Lambda. (2) All mfm_f break the electroweak SU(2)L×U(1)YSU(2)_L \times U(1)_Y to U(1)emU(1)_{em}. Symmetry partners of the composite Nambu-Goldstone bosons are the genuine Higgs particles: (1) Three νR\nu_{R}-composed Higgses χi\chi_i with masses Λ\sim \Lambda. (2) Two new SM-fermion-composed Higgses h3,h8h_3, h_8 with masses m(3),m(8)\sim m_{(3)}, m_{(8)}, respectively. (3) The SM-like SM-fermion-composed Higgs hh with mass m(0)\sim m_{(0)}, the effective Fermi scale. Σf(p2)\Sigma_f(p^2)-dependent vertices in the electroweak Ward-Takahashi identities imply: The axial-vector ones give rise to the WW and ZZ masses at Fermi scale. The polar-vector ones give rise to the fermion mass splitting in ff. At the present exploratory stage the splitting comes out unrealistic.

Keywords

Cite

@article{arxiv.2011.03312,
  title  = {Electroweak $SU(2)_L \times U(1)_Y$ model with strong spontaneously fermion-mass-generating gauge dynamics},
  author = {Petr Beneš and Jiří Hošek and Adam Smetana},
  journal= {arXiv preprint arXiv:2011.03312},
  year   = {2021}
}

Comments

19 pages, 1 figure