Abstract

We present analytic results for the two-loop leading heavy top-quark contributions as required for precise predictions of electroweak observables. The Higgs boson mass is kept arbitrary. We discuss a set of recurrence relations for diagrams with three masses at zero momentum, which allow one to reduce the calculation to a few master integrals. Simple analytic expressions are obtained for the \ensuremath{\rho} parameter and for the Zbb\ifmmode\bar\else\textasciimacron\fi{} vertex. Results are pesented for the on-shell and the MS\ifmmode\bar\else\textasciimacron\fi{} definition of the top quark mass. We explicitly discuss and verify the validity of Ward-Takahashi identities and check that the use of an anticommuting ${\ensuremath{\gamma}}_{5}$ preserves the latter.

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