====== TTP06-17 Four-Loop QCD Corrections to the Rho Parameter ====== The four-loop QCD corrections to the electroweak $\rho$-parameter arising from top and bottom quark loops are computed. Specifically we evaluate the missing ``non-singlet'' piece. Using algebraic methods the amplitude is reduced to a set of around 50 new master integrals which are calculated with various analytical and numerical methods. Inclusion of the newly completed term halves the final value of the four-loop correction for the minimally renormalized top-quark mass. The predictions for the shift of the weak mixing angle and the W-boson mass is thus stabilized. |**K.G.~Chetyrkin, M.~Faisst, J.H.~Kuehn, P. Maierhoefer, C. Sturm** | |** Phys. Rev. Lett. 97 102003 2006 ** | | {{preprints:2006:ttp06-17.pdf|PDF}} {{preprints:2006:ttp06-17.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0605201|arXiv]] | | |