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

AbstraktAbstract

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 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 χi_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.

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 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 χi_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.