Do data onWandZdecays already constrain nonstandard physics?

Abstract

We study the predictions of several extensions of the standard model (SM) for the ratio R=N(pp¯→W→eν)/N(pp¯→Z→$e^{+}$ $e^{\mathrm{-}}$). The starting point of our investigation is the observation that the SM prediction for R seems to be somewhat above the data, especially if the top quark is heavy. We first show that this situation is not changed qualitatively by the incorporation of full quark-mass-dependent QCD corrections for ${\Gamma }_W$ and ${\Gamma }_Z$. However, if either gauginos or exotic E(6) leptons with suitably chosen masses and mixings are present, the prediction for R can be reduced by 0.5–0.7 units. A similar reduction is possible if the Z boson mixes with the Z’ boson present in certain SO(10) and E(6) models. For large top masses the reduction of R can be even larger if the b quark has a sizable SU(2)-singlet component, which is possible in superstring-inspired E(6) models. However, sleptons or squarks cannot reduce the prediction for R, and in models with two Higgs doublets R is expected to be close to its SM value. We then show that existing data strongly disfavor a sequential down-type quark below 26 GeV, and derive limits on the $V_{\mathrm{tb}}$ element of the extended Kobayashi-Maskawa mixing matrix of four-generation models. We also show that the data on R together with existing bounds on the ρ parameter severely constrain models of four-generation quark mass matrices. Furthermore, we find that the simultaneous existence of a light photino and a chargino with mass below $M_Z$/2 is strongly disfavored. We finally discuss the possible effects of new physics on the bounds on the top-quark mass and the number of light neutrino species that can be derived from the experimental upper bound on R.