Three-Loop Leading Top Mass Contributions to the rho Parameter
Abstract
We present analytical results for the leading contributions of the top quark to the electroweak rho parameter at order GF3 Mt6 and GF2 Mt4 alphas. The Higgs boson and the gauge bosons are taken to be massless in this limit. The correction of order GF3 Mt6 is found to be sizeable in comparison to the the leading two-loop GF2 Mt4 correction, however it is much smaller than the subleading GF2 Mt2 MZ2 correction.
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