  A higher derivative term is introduced in the kinetic energy of the Higgs
Lagrangian in the minimal Standard Model. A logically consistent and {\it
finite} field theory is obtained when some excitations of the Higgs field are
quantized with indefinite metric in the Hilbert space. The Landau ghost
phenomenon of the conventional triviality problem is replaced by the state
vectors of a complex ghost pair at a finite mass scale with observable physical
consequences. It is shown that the ghost states exhibit unusual resonance
properties and correspond to a complex conjugate pair of Pauli-Villars
regulator masses in the euclidean path integral formulation of the theory. An
argument is given that microscopic acausality effects associated with the ghost
pair remain undetectable in scattering processes with realistic wave packects,
and the S-matrix should exhibit unitarity in the observable sector of the
Hilbert space. Part One of Extended UCSD-PTH 92-40
