Electroweak SU(2)_L × U(1)_Y model with strong spontaneously fermion-mass-generating gauge dynamics [article]

Petr Beneš, Jiří Hošek, Adam Smetana
2020 arXiv   pre-print
Higgs sector of the Standard model (SM) is replaced by quantum flavor dynamics (QFD), the gauged flavor SU(3)_f symmetry with scale Λ. Anomaly freedom requires addition of three ν_R. The approximate QFD Schwinger-Dyson equation for the Euclidean infrared fermion self-energies Σ_f(p^2) has the spontaneous-chiral-symmetry-breaking solutions ideal for seesaw: (1) Σ_f(p^2)=M_fR^2/p where three Majorana masses M_fR of ν_fR are of order Λ. (2) Σ_f(p^2)=m_f^2/p where three Dirac masses
more » ... λ_3+m_(8)λ_8 of SM fermions are exponentially suppressed w.r.t. Λ, and degenerate for all SM fermions in f. (1) M_fR break SU(3)_f symmetry completely; m_(3),m_(8) superimpose the tiny breaking to U(1) × U(1). All flavor gluons thus acquire self-consistently the masses ∼Λ. (2) All m_f break the electroweak SU(2)_L × U(1)_Y to U(1)_em. Symmetry partners of the composite Nambu-Goldstone bosons are the genuine Higgs particles: (1) Three ν_R-composed Higgses χ_i with masses ∼Λ. (2) Two new SM-fermion-composed Higgses h_3, h_8 with masses ∼ m_(3), m_(8), respectively. (3) The SM-like SM-fermion-composed Higgs h with mass ∼ m_(0), the effective Fermi scale. Σ_f(p^2)-dependent vertices in the electroweak Ward-Takahashi identities imply: The axial-vector ones give rise to the W and Z masses at Fermi scale. The polar-vector ones give rise to the fermion mass splitting in f. At the present exploratory stage the splitting comes out unrealistic.
arXiv:2011.03312v1 fatcat:fjj7e2q3avemtfezqthxyjdgca