A method is proposed to calculate the confidence level for agreement of data
with the Standard Model (SM) by combining information from direct and indirect
Higgs Boson searches. Good agreement with the SM is found for mH≃120
GeV using the observables most sensitive to mH: Al and mW. In
particular, quantum corrections, as predicted by the SM, are observed with a
statistical significance of forty-four standard deviations. However, apparent
deviations from the SM of 3.7σ and 2.8σ are found for the Zννˉ and right-handed Zbbˉ couplings respectively. The
maximum confidence level for agreement with the SM of the entire data set
considered is ≃0.006 for mH≃180 GeV. The reason why
confidence levels about an order of magnitude higher than this have been
claimed for global fits to similar data sets is explained.Comment: 47 pages, 8 figures, 24 tables. An in-depth study of statistical
issues related to the comparison of precision EW data to the S