Indirect determinations of the top quark mass

We give a complete analysis of indirect determinations of the top quark mass in the Standard Model by introducing a systematic procedure to identify observables that receive quantum corrections enhanced by powers of M-t. We discuss how to use flavour physics as a tool to extract the top quark mass. Although present data give only a poor determination, we show how future theoretical and experimental progress in flavour physics can lead to an accuracy in M-t well below 2 GeV. We revisit determinations of M-t from electroweak data, showing how an improved measurement of the W mass leads to an accuracy at the level of 1 GeV.