Abstract
We present an analytical calculation of the leading three-loop radiative correction to the ρ-parameter in the Standard Model in the large Higgs mass limit. This correction, of order g 6 m H 4 / M W 4 , is opposite in sign to the leading two-loop correction of order g 4 m H 2 / M W 2 . 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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