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… Click to show full abstract
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 $$ {M}_{fR}^2/p $$ where three Majorana masses M fR of ν fR are of order Λ. (2) Σ f ( p 2 ) = m f 2 / p $$ {m}_f^2/p $$ where three Dirac masses m f = m (0) 1 + m (3) 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.
               
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