Comprehensive analysis of data pertaining to the weak neutral current and the intermediate-vector-boson masses

The results of a comprehensive analysis of existing data on the weak neutral current and the W and Z masses are presented. The principal results are the following. (a) There is no evidence for any deviation from the standard model. (b) A global fit to all data yields sin^2ₖ1-Mₖ^2/Mₙ^2=0. 2300. 0048, where this error and all others given here include full statistical, systematic, and theoretical uncertainties (computed assuming three fermion families, mₓ100 GeV, and M₇1 TeV). (c) Allowing Mₖ^2/ (Mₙ^2cos^2ₖ) as well as sin^2ₖ to vary one obtains sin^2ₖ=0. 2290. 0064 and =0. 9980. 0086. This implies 90%-confidence-level (C. L. ) upper limits of 0. 047 and 0. 081 for the vacuum expectation values (relative to those of Higgs doublets) for Higgs triplets with weak hypercharge of 0 and 1, respectively. (d) The parameter ₖ-s^2 (1-) /sin^2^0, which is a measure of the radiative corrections relating deep-inelastic neutrino scattering, the W and Z masses, and muon decay, is determined to be 0. 1120. 037. This is consistent with the value ₖ=0. 106 expected for mₓ=45 GeV and M₇=100 GeV and establishes the existence of radiative corrections at the 3 level. (e) The radiative corrections are sensitive to isospin breaking associated with a large mₓ. Assuming no deviation from the standard model, consistency of the various reactions requires mₓ180 GeV at 90% C. L. for M₇100 GeV, with a slightly weaker limit for larger M₇. Similar results hold for the mass splittings between fourth-generation quarks or leptons. (f) Most of the parameters in model-independent fits to, , eq, and e^+e^- processes are now determined uniquely and precisely. (g) Limits are given on the masses and mixing angles of additional Z bosons expected in popular models. For theoretically expected coupling constants one finds that the neutral-current constraints are usually more stringent than the direct-production limits from the CERN Sp collider, but nevertheless masses as low as 120--300 GeV are typically allowed. (h) The implications of these results for grand unification are discussed. sin^2ₖ is 2. 5 standard deviations above the prediction of minimal SU (5) and similar models for all mₓ. It is closer to the prediction of simple supersymmetric grand unified theories but is still somewhat low. (i) The dominant theoretical uncertainty (the charm-quark threshold in deep-inelastic charged-current scattering) is considered in some detail.