Predictive electroweak gauge model with strong spontaneous-symmetry-breaking 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. For all SM chiral fermions in triplets the anomaly freedom demands addition of a triplet of ν_R​. Approximate QFD Schwinger-Dyson equation for the Euclidean infrared fermion self-energies Σ_f(p^2) has 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. M_{fR} break SU(3)_f​ completely, and m_{(3)}, m_{(8)} superimpose its tiny breaking to U(1) × U(1). All flavor gluons thus acquire self-consistently the masses ∼ Λ . m_f break SU(2)_L × U(1)_Y to U(1)_{em}​. Symmetry partners of the composite `would-be' 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. Electroweak loops with Σ_f(p^2)-dependent vertices enforced by the symmetry of the Lagrangian generate the W and Z masses at Fermi scale, and provide the fermion mass splitting in f. At the present exploratory stage the splitting is 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. For all SM chiral fermions in triplets the anomaly freedom demands addition of a triplet of ν_R​. Approximate QFD Schwinger-Dyson equation for the Euclidean infrared fermion self-energies Σ_f(p^2) has 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. M_{fR} break SU(3)_f​ completely, and m_{(3)}, m_{(8)} superimpose its tiny breaking to U(1) × U(1). All flavor gluons thus acquire self-consistently the masses ∼ Λ . m_f break SU(2)_L × U(1)_Y to U(1)_{em}​. Symmetry partners of the composite `would-be' 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. Electroweak loops with Σ_f(p^2)-dependent vertices enforced by the symmetry of the Lagrangian generate the W and Z masses at Fermi scale, and provide the fermion mass splitting in f. At the present exploratory stage the splitting is unrealistic.