Beyond The Standard Model

An overview of unified theory models that extend the standard model is given. A scenario describing the physics beyond the standard model is developed based on a finite quantum field theory (FQFT) and the group G=SO(3, 1)⊗SU(3)⊗SU(2)⊗U(1). The field theory is Poincaré invariant, gauge invariant, finite and unitary to all orders of perturbation theory and has a fundamental scale which is chosen to be ΛF = 1/ √ GF ∼ 300 GeV, where GF is the Fermi coupling constant. The physical Higgs particle is protected from acquiring a large mass beyond ∼ 1 TeV, removing the gauge hierarchy problem associated with the scalar Higgs field. This avoids the need for a composite Higgs field or supersymmetry. The coupling constants and the fermion masses can be calculated from a set of low-energy relativistic eigenvalue equations based on truncated Green’s functions and the FQFT, reducing the number of free parameters in the model without a grand unification scheme. The proton is predicted to be stable. Quantum gravity is perturbatively finite and unitary to all orders.