Is the Weinberg model ofCPviolation really excluded?

Abstract

We give an updated analysis on various CP-violating effects in the Weinberg three-Higgs-doublet model of CP violation. Because of the improved estimate of the 77-77' mixing and of the K -I~~ transition, the sign of E'/E is predicted to be the same as that of the chiral suppression of CP-odd K-27: amplitudes (owing to the presence of tadpole contributions) and is most likely to be positive, contrary to previous calculations. The neutron electric dipole moment d,, due to neutral-Higgs-boson exchange at the one-loop level is reexamined and is found to be below the present experimental limit for reasonable Higgs-boson mass. However, the Weinberg's three-gluon operator arising from charged-Higgs-boson exchange will produce an excessive d,, even if the charged Higgs bosons are uncomfortably light. We conclude that the Weinberg CP-violation model is not necessarily inconsistent with experiment of measuring E'/E, but it tends to give too large a value of d,.

T-odd correlation in theK+→πlνγdecays beyond the standard model

“…For this case the non-zero asymmetry apears only due to the nonvanishing values of Im(g s ), Im(g p ) parametres. Among these models there are some leptoquark and multihiggs SM extentions [7,8,17].…”

“…Futher we suppose that the model Lagrangian is invariant under transformation (17), that gives us the following identity: g R = g L . Moreover, we suppose that K R , K L matrices are related as follows:…”

T-violating muon polarization inKμ3decays

“…Thus, the value of d , at one-loop level is not far from the experimental limit [26] dFPt < 1.2 X 1 0~'~ e cm. As pointed out by Cheng [12], the original Weinberg model could be ruled out by higher loop contributions to d,. The naive-dimensional-analysis (NDA) estimate of d, on the Weinberg three-gluon operator [27,28] arising from two-loop diagrams with charged-Higgs-boson exchanges [29] yields j 121 and d,3g-4 x e cm by using Eq.…”

“…We start by considering the Weinberg three-Higgs-doublet model. The constraints on this model were updated recently by Cheng [12]. He finds that with the use of the experimental value [24] I E 3 2 .…”

“…However, most of the efforts were on the effects of the neutron electric dipole moment (NEDM) d, (Ref. [12]). Furthermore, as the minimum charged-Higgs-bosons mass is raised to be > 45 GeV by experiments at the CERN e + ecollider LEP, the estimated value of P, in Refs.…”