Radiative corrections to theZ0resonance

We review calculations of the radiative corrections to the $Z^0$ resonance, and we show that while the radiative corrections are quite large, they can be calculated and incorporated into the comparison with experiment so that there will be no significant theoretical uncertainties on the measurements of the $Z^0$ mass and width at the Stanford Linear Collider and the CERN collider LEP. We compare calculations based on matrix elements and structure-function methods, and discuss two Monte Carlo programs based on these calculations. We use the new calculations to refit the J/ψ resonance.