Three-Loop Electroweak Correction to the Rho Parameter in the Large Higgs Mass Limit
R. Boughezal, J. B. Tausk, J. J. van der Bij
Abstract
We present an analytical calculation of the leading three-loop radiative correction to the rho-parameter in the Standard Model in the large Higgs mass limit. This correction, of order g6 mH4/MW4, is opposite in sign to the leading two-loop correction of order g4 mH2/MW2. The two corrections cancel each other for a Higgs mass of approximately 480 GeV. The result shows that it is extremely unlikely that a strongly interacting Higgs sector could fit the data of electroweak precision measurements.
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