Ruling out the Weinberg model of spontaneous CP violation - art. no. 096005

There have been many declarations of the death of the Weinberg model of spo ntaneous CP violation. However, these studies relied on the assumption of u nrealistically small errors in the theoretical uncertainties in the calcula tions of the relevant observables, and a realistic estimate of the errors s hows that the Weinberg model cannot be ruled out on the basis used in the p ast-the experimental values on epsilon in K-0-(K) over bar (0) mixing, the neutron electric dipole moment (EDM), the branching ratio of b-->s gamma, a nd the earlier upper limit on epsilon'/epsilon. In this paper we use these realistic estimates of the theoretical uncertainty, together with the recen t experimental results to study the consistency of the Weinberg model of CP violation with the data. The latest results from Belle and BaBar on sin 2 beta allow the small values of this parameter which occur naturally in the Weinberg model. However, in this model, the recently measured value of Re(e psilon'/epsilon) = (1.92+/-0.25)x10(-3) cannot be made compatible with the branching ratio B(b-->s gamma) = (3.15+/-0.54)x10(-4). As a result we concl ude that the Weinberg model is now confidently and conservatively ruled out .