Radiative Corrections In An Ultraviolet Complete Electroweak Model Without A Higgs Particle

Abstract

The one-loop radiative correction in an ultraviolet (UV) complete electroweak (EW) model without a Higgs particle is calculated. The $\rho$ parameter determining the ratio of the charged to neutral currents is derived for the dominant top quark contribution with the result $\rho\sim 1.01$. This result is compared to the radiative correction to $\rho$ in the standard EW model with a Higgs particle. For the favored light Higgs particle mass from global fits to EW data: $114.4\,{\rm GeV} \leq m_H\leq 135\, {\rm GeV}$, the Higgs contribution up to three loops is negligible and the Higgless model is consistent with EW data for the energy scale $\Lambda_W\lesssim 1-2$ TeV.