RELATION BETWEEN THE FERMION POLE MASS AND (MS)OVER-BAR YUKAWA COUPLING IN THE STANDARD MODEL

We present the full one-loop correction to the relation between the running MS̄ Yukawa coupling h̄f(μ) at some renormalization scale μ and the pole mass mf of a fermion f in the standard model. Our result complements previous analyses that included just the QCD correction to this relation in the case of quarks. This allows us to convert, without loss of information, the threshold value h̄f(mf) of h̄f(μ), which satisfies a renormalization-group equation and may be driven up to some high-energy scale of new physics, to physical observables at low energy. We investigate the limit of the Higgs boson and/or the top quark being much heavier than all the other particles. We also list simple and yet rather precise approximation formulas, which are convenient for applications. © 1995 The American Physical Society.