Relations between the on-shell and frameworks and the mw-mz interdependence

Abstract

It is shown that the recently introduced radiative corrections DELTA-r and DELTA-r(w) automatically incorporate the leading higher-order contributions arising from resummation of one-loop fermionic contributions. With slight modifications, they can be made to include all such contributions (not just the leading ones). Simple relations between DELTA-r, DELTA-r(w), DELTA-r, sin2-theta-w and sin2-theta-w(m(z)) are derived. These expressions bridge the MSBAR and on-shell renormalization schemes and are very useful to compute DELTA-r and sin2-theta-w in the case of large m(t). The m(w)-m(z) interdependence is expressed in two equivalent ways: in terms of DELTA-r and in terms of the parameter p = m(w)2/m(z)2cos2-theta-w(m(z)). Applications of the expressions derived in the paper are illustrated numerically.