Ultraviolet Complete Electroweak Model Without a Higgs Particle

Abstract

An electroweak model with running coupling constants described by an energy dependent entire function is utraviolet complete and avoids unitarity violations for energies above 1 TeV. The action contains no physical scalar fields and no Higgs particle and the physical electroweak model fields are local and satisfy microcausality. The $W$ and $Z$ masses are compatible with a symmetry breaking $SU(2{)}_L\times U(1{)}_Y\to U(1{)}_{\mathrm{em}}$, which retains a massless photon. The vertex couplings possess an energy scale ${\Lambda }_W>1$ TeV predicting scattering amplitudes that can be tested at the LHC.

Comments: 19 pages, no figures, LaTex file. Equation and text corrected. Reference added. Results remain the same. Final version published in European Physics Journal Plus, 126 (2011)